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Finding the Fourth Proportional to 538,242.17, 807,437.06 and 159,192.71

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Solution

The fourth proportional to 538,242.17, 807,437.06 and 159,192.71 is: 238,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,242.17 : 807,437.06 = 159,192.71 : x
  2. Step 2: Convert to fraction form
    538,242.17/807,437.06 = 159,192.71/x
  3. Step 3: Cross multiply
    538,242.17x = 807,437.06 × 159,192.71
  4. Step 4: Simplify right side
    538,242.17x = 128,538,092,527.55
  5. Step 5: Solve for x
    x = 128,538,092,527.55/538,242.17
  6. Step 6: Final answer
    x = 238,810.89

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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.