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Finding the Fourth Proportional to 647,010,657.20, 970,515,985.80 and 463,344,647.60

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Solution

The fourth proportional to 647,010,657.20, 970,515,985.80 and 463,344,647.60 is: 695,016,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,010,657.20 : 970,515,985.80 = 463,344,647.60 : x
  2. Step 2: Convert to fraction form
    647,010,657.20/970,515,985.80 = 463,344,647.60/x
  3. Step 3: Cross multiply
    647,010,657.20x = 970,515,985.80 × 463,344,647.60
  4. Step 4: Simplify right side
    647,010,657.20x = 449,683,387,430,667,584
  5. Step 5: Solve for x
    x = 449,683,387,430,667,584/647,010,657.20
  6. Step 6: Final answer
    x = 695,016,971.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.