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Finding the Fourth Proportional to 398,810.48, 597,991.56 and 132,428.40

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Solution

The fourth proportional to 398,810.48, 597,991.56 and 132,428.40 is: 198,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,810.48 : 597,991.56 = 132,428.40 : x
  2. Step 2: Convert to fraction form
    398,810.48/597,991.56 = 132,428.40/x
  3. Step 3: Cross multiply
    398,810.48x = 597,991.56 × 132,428.40
  4. Step 4: Simplify right side
    398,810.48x = 79,191,065,504.30
  5. Step 5: Solve for x
    x = 79,191,065,504.30/398,810.48
  6. Step 6: Final answer
    x = 198,568.17

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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.