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Finding the Fourth Proportional to 459,879.40, 689,819.10 and 418,545.10

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Solution

The fourth proportional to 459,879.40, 689,819.10 and 418,545.10 is: 627,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,879.40 : 689,819.10 = 418,545.10 : x
  2. Step 2: Convert to fraction form
    459,879.40/689,819.10 = 418,545.10/x
  3. Step 3: Cross multiply
    459,879.40x = 689,819.10 × 418,545.10
  4. Step 4: Simplify right side
    459,879.40x = 288,720,404,191.41
  5. Step 5: Solve for x
    x = 288,720,404,191.41/459,879.40
  6. Step 6: Final answer
    x = 627,817.65

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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.