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Finding the Fourth Proportional to 492,972.71, 680,333.45 and 278,034.35

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Solution

The fourth proportional to 492,972.71, 680,333.45 and 278,034.35 is: 383,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,972.71 : 680,333.45 = 278,034.35 : x
  2. Step 2: Convert to fraction form
    492,972.71/680,333.45 = 278,034.35/x
  3. Step 3: Cross multiply
    492,972.71x = 680,333.45 × 278,034.35
  4. Step 4: Simplify right side
    492,972.71x = 189,156,063,762.17
  5. Step 5: Solve for x
    x = 189,156,063,762.17/492,972.71
  6. Step 6: Final answer
    x = 383,704.94

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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.