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Finding the Fourth Proportional to 278,314.38, 384,073.98 and 150,989.94

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Solution

The fourth proportional to 278,314.38, 384,073.98 and 150,989.94 is: 208,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314.38 : 384,073.98 = 150,989.94 : x
  2. Step 2: Convert to fraction form
    278,314.38/384,073.98 = 150,989.94/x
  3. Step 3: Cross multiply
    278,314.38x = 384,073.98 × 150,989.94
  4. Step 4: Simplify right side
    278,314.38x = 57,991,307,195.76
  5. Step 5: Solve for x
    x = 57,991,307,195.76/278,314.38
  6. Step 6: Final answer
    x = 208,366.19

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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.