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Finding the Fourth Proportional to 438,015.52, 657,022.80 and 105,591.52

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Solution

The fourth proportional to 438,015.52, 657,022.80 and 105,591.52 is: 158,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,015.52 : 657,022.80 = 105,591.52 : x
  2. Step 2: Convert to fraction form
    438,015.52/657,022.80 = 105,591.52/x
  3. Step 3: Cross multiply
    438,015.52x = 657,022.80 × 105,591.52
  4. Step 4: Simplify right side
    438,015.52x = 69,376,036,126.66
  5. Step 5: Solve for x
    x = 69,376,036,126.66/438,015.52
  6. Step 6: Final answer
    x = 158,387.16

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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.