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Finding the Fourth Proportional to 257,894.32, 386,338.26 and 168,877.95

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Solution

The fourth proportional to 257,894.32, 386,338.26 and 168,877.95 is: 252,987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,894.32 : 386,338.26 = 168,877.95 : x
  2. Step 2: Convert to fraction form
    257,894.32/386,338.26 = 168,877.95/x
  3. Step 3: Cross multiply
    257,894.32x = 386,338.26 × 168,877.95
  4. Step 4: Simplify right side
    257,894.32x = 65,244,012,510.98
  5. Step 5: Solve for x
    x = 65,244,012,510.98/257,894.32
  6. Step 6: Final answer
    x = 252,987.40

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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.