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Finding the Fourth Proportional to 475,314.40, 712,971.60 and 307,352.80

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Solution

The fourth proportional to 475,314.40, 712,971.60 and 307,352.80 is: 461,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,314.40 : 712,971.60 = 307,352.80 : x
  2. Step 2: Convert to fraction form
    475,314.40/712,971.60 = 307,352.80/x
  3. Step 3: Cross multiply
    475,314.40x = 712,971.60 × 307,352.80
  4. Step 4: Simplify right side
    475,314.40x = 219,133,817,580.48
  5. Step 5: Solve for x
    x = 219,133,817,580.48/475,314.40
  6. Step 6: Final answer
    x = 461,029.20

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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.