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Finding the Fourth Proportional to 451,071.20, 676,606.53 and 421,177.64

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Solution

The fourth proportional to 451,071.20, 676,606.53 and 421,177.64 is: 631,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,071.20 : 676,606.53 = 421,177.64 : x
  2. Step 2: Convert to fraction form
    451,071.20/676,606.53 = 421,177.64/x
  3. Step 3: Cross multiply
    451,071.20x = 676,606.53 × 421,177.64
  4. Step 4: Simplify right side
    451,071.20x = 284,971,543,516.28
  5. Step 5: Solve for x
    x = 284,971,543,516.28/451,071.20
  6. Step 6: Final answer
    x = 631,766.22

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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.