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Finding the Fourth Proportional to 465,879.30, 698,834.55 and 128,891.76

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Solution

The fourth proportional to 465,879.30, 698,834.55 and 128,891.76 is: 193,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,879.30 : 698,834.55 = 128,891.76 : x
  2. Step 2: Convert to fraction form
    465,879.30/698,834.55 = 128,891.76/x
  3. Step 3: Cross multiply
    465,879.30x = 698,834.55 × 128,891.76
  4. Step 4: Simplify right side
    465,879.30x = 90,074,012,417.26
  5. Step 5: Solve for x
    x = 90,074,012,417.26/465,879.30
  6. Step 6: Final answer
    x = 193,341.95

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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.