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Finding the Fourth Proportional to 499,213.12, 748,671.76 and 144,230.32

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Solution

The fourth proportional to 499,213.12, 748,671.76 and 144,230.32 is: 216,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,213.12 : 748,671.76 = 144,230.32 : x
  2. Step 2: Convert to fraction form
    499,213.12/748,671.76 = 144,230.32/x
  3. Step 3: Cross multiply
    499,213.12x = 748,671.76 × 144,230.32
  4. Step 4: Simplify right side
    499,213.12x = 107,981,167,519.76
  5. Step 5: Solve for x
    x = 107,981,167,519.76/499,213.12
  6. Step 6: Final answer
    x = 216,302.74

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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.