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Finding the Fourth Proportional to 614,400, 847,872 and 331,776

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Solution

The fourth proportional to 614,400, 847,872 and 331,776 is: 457,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,400 : 847,872 = 331,776 : x
  2. Step 2: Convert to fraction form
    614,400/847,872 = 331,776/x
  3. Step 3: Cross multiply
    614,400x = 847,872 × 331,776
  4. Step 4: Simplify right side
    614,400x = 281,303,580,672
  5. Step 5: Solve for x
    x = 281,303,580,672/614,400
  6. Step 6: Final answer
    x = 457,850.88

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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.