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Finding the Fourth Proportional to 278,502.58, 384,225.90 and 157,616.14

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Solution

The fourth proportional to 278,502.58, 384,225.90 and 157,616.14 is: 217,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,502.58 : 384,225.90 = 157,616.14 : x
  2. Step 2: Convert to fraction form
    278,502.58/384,225.90 = 157,616.14/x
  3. Step 3: Cross multiply
    278,502.58x = 384,225.90 × 157,616.14
  4. Step 4: Simplify right side
    278,502.58x = 60,560,203,246.03
  5. Step 5: Solve for x
    x = 60,560,203,246.03/278,502.58
  6. Step 6: Final answer
    x = 217,449.34

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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.