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Finding the Fourth Proportional to 473,627.60, 709,829 and 354,363.20

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Solution

The fourth proportional to 473,627.60, 709,829 and 354,363.20 is: 531,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,627.60 : 709,829 = 354,363.20 : x
  2. Step 2: Convert to fraction form
    473,627.60/709,829 = 354,363.20/x
  3. Step 3: Cross multiply
    473,627.60x = 709,829 × 354,363.20
  4. Step 4: Simplify right side
    473,627.60x = 251,537,275,892.80
  5. Step 5: Solve for x
    x = 251,537,275,892.80/473,627.60
  6. Step 6: Final answer
    x = 531,086.61

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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.