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Finding the Fourth Proportional to 538,654.64, 807,981.94 and 139,335.78

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Solution

The fourth proportional to 538,654.64, 807,981.94 and 139,335.78 is: 209,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,654.64 : 807,981.94 = 139,335.78 : x
  2. Step 2: Convert to fraction form
    538,654.64/807,981.94 = 139,335.78/x
  3. Step 3: Cross multiply
    538,654.64x = 807,981.94 × 139,335.78
  4. Step 4: Simplify right side
    538,654.64x = 112,580,793,835.81
  5. Step 5: Solve for x
    x = 112,580,793,835.81/538,654.64
  6. Step 6: Final answer
    x = 209,003.66

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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.