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Finding the Fourth Proportional to 438,270.72, 657,504.60 and 138,769.20

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Solution

The fourth proportional to 438,270.72, 657,504.60 and 138,769.20 is: 208,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,270.72 : 657,504.60 = 138,769.20 : x
  2. Step 2: Convert to fraction form
    438,270.72/657,504.60 = 138,769.20/x
  3. Step 3: Cross multiply
    438,270.72x = 657,504.60 × 138,769.20
  4. Step 4: Simplify right side
    438,270.72x = 91,241,387,338.32
  5. Step 5: Solve for x
    x = 91,241,387,338.32/438,270.72
  6. Step 6: Final answer
    x = 208,184.99

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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.