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Finding the Fourth Proportional to 278,462.70, 384,278.52 and 151,138.32

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Solution

The fourth proportional to 278,462.70, 384,278.52 and 151,138.32 is: 208,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,462.70 : 384,278.52 = 151,138.32 : x
  2. Step 2: Convert to fraction form
    278,462.70/384,278.52 = 151,138.32/x
  3. Step 3: Cross multiply
    278,462.70x = 384,278.52 × 151,138.32
  4. Step 4: Simplify right side
    278,462.70x = 58,079,209,924.89
  5. Step 5: Solve for x
    x = 58,079,209,924.89/278,462.70
  6. Step 6: Final answer
    x = 208,570.88

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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.