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Finding the Fourth Proportional to 538,474.41, 807,807.69 and 178,666.83

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Solution

The fourth proportional to 538,474.41, 807,807.69 and 178,666.83 is: 268,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,474.41 : 807,807.69 = 178,666.83 : x
  2. Step 2: Convert to fraction form
    538,474.41/807,807.69 = 178,666.83/x
  3. Step 3: Cross multiply
    538,474.41x = 807,807.69 × 178,666.83
  4. Step 4: Simplify right side
    538,474.41x = 144,328,439,221.92
  5. Step 5: Solve for x
    x = 144,328,439,221.92/538,474.41
  6. Step 6: Final answer
    x = 268,032.12

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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.