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Finding the Fourth Proportional to 256,750.20, 385,125.30 and 172,769.40

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Solution

The fourth proportional to 256,750.20, 385,125.30 and 172,769.40 is: 259,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,750.20 : 385,125.30 = 172,769.40 : x
  2. Step 2: Convert to fraction form
    256,750.20/385,125.30 = 172,769.40/x
  3. Step 3: Cross multiply
    256,750.20x = 385,125.30 × 172,769.40
  4. Step 4: Simplify right side
    256,750.20x = 66,537,867,005.82
  5. Step 5: Solve for x
    x = 66,537,867,005.82/256,750.20
  6. Step 6: Final answer
    x = 259,154.10

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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.