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Finding the Fourth Proportional to 257,908.80, 386,972.55 and 163,211.70

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Solution

The fourth proportional to 257,908.80, 386,972.55 and 163,211.70 is: 244,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,908.80 : 386,972.55 = 163,211.70 : x
  2. Step 2: Convert to fraction form
    257,908.80/386,972.55 = 163,211.70/x
  3. Step 3: Cross multiply
    257,908.80x = 386,972.55 × 163,211.70
  4. Step 4: Simplify right side
    257,908.80x = 63,158,447,738.84
  5. Step 5: Solve for x
    x = 63,158,447,738.84/257,908.80
  6. Step 6: Final answer
    x = 244,886.75

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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.