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Finding the Fourth Proportional to 438,321.12, 657,086.94 and 157,641

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Solution

The fourth proportional to 438,321.12, 657,086.94 and 157,641 is: 236,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,321.12 : 657,086.94 = 157,641 : x
  2. Step 2: Convert to fraction form
    438,321.12/657,086.94 = 157,641/x
  3. Step 3: Cross multiply
    438,321.12x = 657,086.94 × 157,641
  4. Step 4: Simplify right side
    438,321.12x = 103,583,842,308.54
  5. Step 5: Solve for x
    x = 103,583,842,308.54/438,321.12
  6. Step 6: Final answer
    x = 236,319.53

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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.