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Finding the Fourth Proportional to 614,402, 847,874.76 and 331,778

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Solution

The fourth proportional to 614,402, 847,874.76 and 331,778 is: 457,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,402 : 847,874.76 = 331,778 : x
  2. Step 2: Convert to fraction form
    614,402/847,874.76 = 331,778/x
  3. Step 3: Cross multiply
    614,402x = 847,874.76 × 331,778
  4. Step 4: Simplify right side
    614,402x = 281,306,192,123.28
  5. Step 5: Solve for x
    x = 281,306,192,123.28/614,402
  6. Step 6: Final answer
    x = 457,853.64

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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.