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Finding the Fourth Proportional to 459,697.92, 689,545.68 and 144,154.32

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Solution

The fourth proportional to 459,697.92, 689,545.68 and 144,154.32 is: 216,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,697.92 : 689,545.68 = 144,154.32 : x
  2. Step 2: Convert to fraction form
    459,697.92/689,545.68 = 144,154.32/x
  3. Step 3: Cross multiply
    459,697.92x = 689,545.68 × 144,154.32
  4. Step 4: Simplify right side
    459,697.92x = 99,400,988,609.34
  5. Step 5: Solve for x
    x = 99,400,988,609.34/459,697.92
  6. Step 6: Final answer
    x = 216,231.10

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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.