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Finding the Fourth Proportional to 256,952.80, 385,429.20 and 138,854.80

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Solution

The fourth proportional to 256,952.80, 385,429.20 and 138,854.80 is: 208,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,952.80 : 385,429.20 = 138,854.80 : x
  2. Step 2: Convert to fraction form
    256,952.80/385,429.20 = 138,854.80/x
  3. Step 3: Cross multiply
    256,952.80x = 385,429.20 × 138,854.80
  4. Step 4: Simplify right side
    256,952.80x = 53,518,694,480.16
  5. Step 5: Solve for x
    x = 53,518,694,480.16/256,952.80
  6. Step 6: Final answer
    x = 208,282.20

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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.