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Finding the Fourth Proportional to 488,047.80, 731,099.70 and 429,598.20

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Solution

The fourth proportional to 488,047.80, 731,099.70 and 429,598.20 is: 643,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,047.80 : 731,099.70 = 429,598.20 : x
  2. Step 2: Convert to fraction form
    488,047.80/731,099.70 = 429,598.20/x
  3. Step 3: Cross multiply
    488,047.80x = 731,099.70 × 429,598.20
  4. Step 4: Simplify right side
    488,047.80x = 314,079,115,140.54
  5. Step 5: Solve for x
    x = 314,079,115,140.54/488,047.80
  6. Step 6: Final answer
    x = 643,541.71

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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.