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Finding the Fourth Proportional to 257,904.30, 386,856.45 and 163,425.90

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Solution

The fourth proportional to 257,904.30, 386,856.45 and 163,425.90 is: 245,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,904.30 : 386,856.45 = 163,425.90 : x
  2. Step 2: Convert to fraction form
    257,904.30/386,856.45 = 163,425.90/x
  3. Step 3: Cross multiply
    257,904.30x = 386,856.45 × 163,425.90
  4. Step 4: Simplify right side
    257,904.30x = 63,222,363,512.06
  5. Step 5: Solve for x
    x = 63,222,363,512.06/257,904.30
  6. Step 6: Final answer
    x = 245,138.85

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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.