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Finding the Fourth Proportional to 256,743.46, 385,304.46 and 121,808.08

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Solution

The fourth proportional to 256,743.46, 385,304.46 and 121,808.08 is: 182,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,743.46 : 385,304.46 = 121,808.08 : x
  2. Step 2: Convert to fraction form
    256,743.46/385,304.46 = 121,808.08/x
  3. Step 3: Cross multiply
    256,743.46x = 385,304.46 × 121,808.08
  4. Step 4: Simplify right side
    256,743.46x = 46,933,196,488.04
  5. Step 5: Solve for x
    x = 46,933,196,488.04/256,743.46
  6. Step 6: Final answer
    x = 182,801.92

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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.