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Finding the Fourth Proportional to 278,314.32, 384,073.90 and 150,989.88

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Solution

The fourth proportional to 278,314.32, 384,073.90 and 150,989.88 is: 208,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314.32 : 384,073.90 = 150,989.88 : x
  2. Step 2: Convert to fraction form
    278,314.32/384,073.90 = 150,989.88/x
  3. Step 3: Cross multiply
    278,314.32x = 384,073.90 × 150,989.88
  4. Step 4: Simplify right side
    278,314.32x = 57,991,272,072.13
  5. Step 5: Solve for x
    x = 57,991,272,072.13/278,314.32
  6. Step 6: Final answer
    x = 208,366.11

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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.