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Finding the Fourth Proportional to 488,312.40, 731,593.80 and 432,325.20

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Solution

The fourth proportional to 488,312.40, 731,593.80 and 432,325.20 is: 647,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,312.40 : 731,593.80 = 432,325.20 : x
  2. Step 2: Convert to fraction form
    488,312.40/731,593.80 = 432,325.20/x
  3. Step 3: Cross multiply
    488,312.40x = 731,593.80 × 432,325.20
  4. Step 4: Simplify right side
    488,312.40x = 316,286,435,903.76
  5. Step 5: Solve for x
    x = 316,286,435,903.76/488,312.40
  6. Step 6: Final answer
    x = 647,713.30

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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.