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Finding the Fourth Proportional to 438,431.60, 657,713.10 and 185,711.60

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Solution

The fourth proportional to 438,431.60, 657,713.10 and 185,711.60 is: 278,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,431.60 : 657,713.10 = 185,711.60 : x
  2. Step 2: Convert to fraction form
    438,431.60/657,713.10 = 185,711.60/x
  3. Step 3: Cross multiply
    438,431.60x = 657,713.10 × 185,711.60
  4. Step 4: Simplify right side
    438,431.60x = 122,144,952,141.96
  5. Step 5: Solve for x
    x = 122,144,952,141.96/438,431.60
  6. Step 6: Final answer
    x = 278,595.23

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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.