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Finding the Fourth Proportional to 647,202.60, 970,074.90 and 310,404.60

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Solution

The fourth proportional to 647,202.60, 970,074.90 and 310,404.60 is: 465,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,202.60 : 970,074.90 = 310,404.60 : x
  2. Step 2: Convert to fraction form
    647,202.60/970,074.90 = 310,404.60/x
  3. Step 3: Cross multiply
    647,202.60x = 970,074.90 × 310,404.60
  4. Step 4: Simplify right side
    647,202.60x = 301,115,711,304.54
  5. Step 5: Solve for x
    x = 301,115,711,304.54/647,202.60
  6. Step 6: Final answer
    x = 465,257.26

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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.