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Finding the Fourth Proportional to 537,973.60, 807,543.60 and 338,519.20

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Solution

The fourth proportional to 537,973.60, 807,543.60 and 338,519.20 is: 508,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,973.60 : 807,543.60 = 338,519.20 : x
  2. Step 2: Convert to fraction form
    537,973.60/807,543.60 = 338,519.20/x
  3. Step 3: Cross multiply
    537,973.60x = 807,543.60 × 338,519.20
  4. Step 4: Simplify right side
    537,973.60x = 273,369,013,437.12
  5. Step 5: Solve for x
    x = 273,369,013,437.12/537,973.60
  6. Step 6: Final answer
    x = 508,145.78

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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.