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Finding the Fourth Proportional to 398,602.56, 597,773.84 and 132,291.60

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Solution

The fourth proportional to 398,602.56, 597,773.84 and 132,291.60 is: 198,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,602.56 : 597,773.84 = 132,291.60 : x
  2. Step 2: Convert to fraction form
    398,602.56/597,773.84 = 132,291.60/x
  3. Step 3: Cross multiply
    398,602.56x = 597,773.84 × 132,291.60
  4. Step 4: Simplify right side
    398,602.56x = 79,080,457,731.74
  5. Step 5: Solve for x
    x = 79,080,457,731.74/398,602.56
  6. Step 6: Final answer
    x = 198,394.25

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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.