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Finding the Fourth Proportional to 438,468.28, 657,720.90 and 138,942.28

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Solution

The fourth proportional to 438,468.28, 657,720.90 and 138,942.28 is: 208,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,468.28 : 657,720.90 = 138,942.28 : x
  2. Step 2: Convert to fraction form
    438,468.28/657,720.90 = 138,942.28/x
  3. Step 3: Cross multiply
    438,468.28x = 657,720.90 × 138,942.28
  4. Step 4: Simplify right side
    438,468.28x = 91,385,241,449.65
  5. Step 5: Solve for x
    x = 91,385,241,449.65/438,468.28
  6. Step 6: Final answer
    x = 208,419.28

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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.