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Finding the Fourth Proportional to 438,072.90, 657,190.47 and 138,628.86

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Solution

The fourth proportional to 438,072.90, 657,190.47 and 138,628.86 is: 207,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,072.90 : 657,190.47 = 138,628.86 : x
  2. Step 2: Convert to fraction form
    438,072.90/657,190.47 = 138,628.86/x
  3. Step 3: Cross multiply
    438,072.90x = 657,190.47 × 138,628.86
  4. Step 4: Simplify right side
    438,072.90x = 91,105,565,658.96
  5. Step 5: Solve for x
    x = 91,105,565,658.96/438,072.90
  6. Step 6: Final answer
    x = 207,968.96

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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.