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Finding the Fourth Proportional to 538,913.76, 807,652.47 and 254,679.78

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Solution

The fourth proportional to 538,913.76, 807,652.47 and 254,679.78 is: 381,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,913.76 : 807,652.47 = 254,679.78 : x
  2. Step 2: Convert to fraction form
    538,913.76/807,652.47 = 254,679.78/x
  3. Step 3: Cross multiply
    538,913.76x = 807,652.47 × 254,679.78
  4. Step 4: Simplify right side
    538,913.76x = 205,692,753,376.06
  5. Step 5: Solve for x
    x = 205,692,753,376.06/538,913.76
  6. Step 6: Final answer
    x = 381,680.28

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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.