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Finding the Fourth Proportional to 278,011.44, 383,656.44 and 150,687

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Solution

The fourth proportional to 278,011.44, 383,656.44 and 150,687 is: 207,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,011.44 : 383,656.44 = 150,687 : x
  2. Step 2: Convert to fraction form
    278,011.44/383,656.44 = 150,687/x
  3. Step 3: Cross multiply
    278,011.44x = 383,656.44 × 150,687
  4. Step 4: Simplify right side
    278,011.44x = 57,812,037,974.28
  5. Step 5: Solve for x
    x = 57,812,037,974.28/278,011.44
  6. Step 6: Final answer
    x = 207,948.41

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1.5x scale

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.