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Finding the Fourth Proportional to 257,876.80, 386,815.20 and 163,398.40

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Solution

The fourth proportional to 257,876.80, 386,815.20 and 163,398.40 is: 245,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,876.80 : 386,815.20 = 163,398.40 : x
  2. Step 2: Convert to fraction form
    257,876.80/386,815.20 = 163,398.40/x
  3. Step 3: Cross multiply
    257,876.80x = 386,815.20 × 163,398.40
  4. Step 4: Simplify right side
    257,876.80x = 63,204,984,775.68
  5. Step 5: Solve for x
    x = 63,204,984,775.68/257,876.80
  6. Step 6: Final answer
    x = 245,097.60

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1.5x scale

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.