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Finding the Fourth Proportional to 450,819.81, 676,319.90 and 147,234.11

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Solution

The fourth proportional to 450,819.81, 676,319.90 and 147,234.11 is: 220,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,819.81 : 676,319.90 = 147,234.11 : x
  2. Step 2: Convert to fraction form
    450,819.81/676,319.90 = 147,234.11/x
  3. Step 3: Cross multiply
    450,819.81x = 676,319.90 × 147,234.11
  4. Step 4: Simplify right side
    450,819.81x = 99,577,354,434.02
  5. Step 5: Solve for x
    x = 99,577,354,434.02/450,819.81
  6. Step 6: Final answer
    x = 220,880.61

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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.