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Finding the Fourth Proportional to 411,165.40, 616,726.02 and 130,660.80

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Solution

The fourth proportional to 411,165.40, 616,726.02 and 130,660.80 is: 195,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,165.40 : 616,726.02 = 130,660.80 : x
  2. Step 2: Convert to fraction form
    411,165.40/616,726.02 = 130,660.80/x
  3. Step 3: Cross multiply
    411,165.40x = 616,726.02 × 130,660.80
  4. Step 4: Simplify right side
    411,165.40x = 80,581,915,154.02
  5. Step 5: Solve for x
    x = 80,581,915,154.02/411,165.40
  6. Step 6: Final answer
    x = 195,984.18

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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.