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Finding the Fourth Proportional to 459,668.67, 689,613.44 and 144,125.61

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Solution

The fourth proportional to 459,668.67, 689,613.44 and 144,125.61 is: 216,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,668.67 : 689,613.44 = 144,125.61 : x
  2. Step 2: Convert to fraction form
    459,668.67/689,613.44 = 144,125.61/x
  3. Step 3: Cross multiply
    459,668.67x = 689,613.44 × 144,125.61
  4. Step 4: Simplify right side
    459,668.67x = 99,390,957,704.20
  5. Step 5: Solve for x
    x = 99,390,957,704.20/459,668.67
  6. Step 6: Final answer
    x = 216,223.04

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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.