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Finding the Fourth Proportional to 278,864.56, 384,832.80 and 151,539.88

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Solution

The fourth proportional to 278,864.56, 384,832.80 and 151,539.88 is: 209,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,864.56 : 384,832.80 = 151,539.88 : x
  2. Step 2: Convert to fraction form
    278,864.56/384,832.80 = 151,539.88/x
  3. Step 3: Cross multiply
    278,864.56x = 384,832.80 × 151,539.88
  4. Step 4: Simplify right side
    278,864.56x = 58,317,516,332.06
  5. Step 5: Solve for x
    x = 58,317,516,332.06/278,864.56
  6. Step 6: Final answer
    x = 209,124.88

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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.