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Finding the Fourth Proportional to 438,047.46, 657,152.22 and 138,603.42

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Solution

The fourth proportional to 438,047.46, 657,152.22 and 138,603.42 is: 207,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,047.46 : 657,152.22 = 138,603.42 : x
  2. Step 2: Convert to fraction form
    438,047.46/657,152.22 = 138,603.42/x
  3. Step 3: Cross multiply
    438,047.46x = 657,152.22 × 138,603.42
  4. Step 4: Simplify right side
    438,047.46x = 91,083,545,152.59
  5. Step 5: Solve for x
    x = 91,083,545,152.59/438,047.46
  6. Step 6: Final answer
    x = 207,930.77

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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.