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Finding the Fourth Proportional to 538,404.30, 807,606.45 and 338,949.90

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Solution

The fourth proportional to 538,404.30, 807,606.45 and 338,949.90 is: 508,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,404.30 : 807,606.45 = 338,949.90 : x
  2. Step 2: Convert to fraction form
    538,404.30/807,606.45 = 338,949.90/x
  3. Step 3: Cross multiply
    538,404.30x = 807,606.45 × 338,949.90
  4. Step 4: Simplify right side
    538,404.30x = 273,738,125,466.86
  5. Step 5: Solve for x
    x = 273,738,125,466.86/538,404.30
  6. Step 6: Final answer
    x = 508,424.85

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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.