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Finding the Fourth Proportional to 438,296.31, 657,178.38 and 171,737.46

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Solution

The fourth proportional to 438,296.31, 657,178.38 and 171,737.46 is: 257,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,296.31 : 657,178.38 = 171,737.46 : x
  2. Step 2: Convert to fraction form
    438,296.31/657,178.38 = 171,737.46/x
  3. Step 3: Cross multiply
    438,296.31x = 657,178.38 × 171,737.46
  4. Step 4: Simplify right side
    438,296.31x = 112,862,145,748.12
  5. Step 5: Solve for x
    x = 112,862,145,748.12/438,296.31
  6. Step 6: Final answer
    x = 257,501.93

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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.