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Finding the Fourth Proportional to 411,030.30, 616,545.45 and 130,575.90

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Solution

The fourth proportional to 411,030.30, 616,545.45 and 130,575.90 is: 195,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,030.30 : 616,545.45 = 130,575.90 : x
  2. Step 2: Convert to fraction form
    411,030.30/616,545.45 = 130,575.90/x
  3. Step 3: Cross multiply
    411,030.30x = 616,545.45 × 130,575.90
  4. Step 4: Simplify right side
    411,030.30x = 80,505,977,024.66
  5. Step 5: Solve for x
    x = 80,505,977,024.66/411,030.30
  6. Step 6: Final answer
    x = 195,863.85

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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.