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Finding the Fourth Proportional to 278,732.34, 383,947.29 and 224,866.53

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Solution

The fourth proportional to 278,732.34, 383,947.29 and 224,866.53 is: 309,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,732.34 : 383,947.29 = 224,866.53 : x
  2. Step 2: Convert to fraction form
    278,732.34/383,947.29 = 224,866.53/x
  3. Step 3: Cross multiply
    278,732.34x = 383,947.29 × 224,866.53
  4. Step 4: Simplify right side
    278,732.34x = 86,336,894,805.20
  5. Step 5: Solve for x
    x = 86,336,894,805.20/278,732.34
  6. Step 6: Final answer
    x = 309,748.39

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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.