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Finding the Fourth Proportional to 407,908.80, 611,863.20 and 257,661.90

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Solution

The fourth proportional to 407,908.80, 611,863.20 and 257,661.90 is: 386,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,908.80 : 611,863.20 = 257,661.90 : x
  2. Step 2: Convert to fraction form
    407,908.80/611,863.20 = 257,661.90/x
  3. Step 3: Cross multiply
    407,908.80x = 611,863.20 × 257,661.90
  4. Step 4: Simplify right side
    407,908.80x = 157,653,834,652.08
  5. Step 5: Solve for x
    x = 157,653,834,652.08/407,908.80
  6. Step 6: Final answer
    x = 386,492.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.