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Finding the Fourth Proportional to 462,100.92, 637,433.20 and 278,211.64

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Solution

The fourth proportional to 462,100.92, 637,433.20 and 278,211.64 is: 383,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,100.92 : 637,433.20 = 278,211.64 : x
  2. Step 2: Convert to fraction form
    462,100.92/637,433.20 = 278,211.64/x
  3. Step 3: Cross multiply
    462,100.92x = 637,433.20 × 278,211.64
  4. Step 4: Simplify right side
    462,100.92x = 177,341,335,962.45
  5. Step 5: Solve for x
    x = 177,341,335,962.45/462,100.92
  6. Step 6: Final answer
    x = 383,771.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.