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Finding the Fourth Proportional to 438,580.60, 657,871.08 and 165,078.16

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Solution

The fourth proportional to 438,580.60, 657,871.08 and 165,078.16 is: 247,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,580.60 : 657,871.08 = 165,078.16 : x
  2. Step 2: Convert to fraction form
    438,580.60/657,871.08 = 165,078.16/x
  3. Step 3: Cross multiply
    438,580.60x = 657,871.08 × 165,078.16
  4. Step 4: Simplify right side
    438,580.60x = 108,600,147,403.61
  5. Step 5: Solve for x
    x = 108,600,147,403.61/438,580.60
  6. Step 6: Final answer
    x = 247,617.31

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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.