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Finding the Fourth Proportional to 256,948.38, 385,201.08 and 99,287.46

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Solution

The fourth proportional to 256,948.38, 385,201.08 and 99,287.46 is: 148,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,948.38 : 385,201.08 = 99,287.46 : x
  2. Step 2: Convert to fraction form
    256,948.38/385,201.08 = 99,287.46/x
  3. Step 3: Cross multiply
    256,948.38x = 385,201.08 × 99,287.46
  4. Step 4: Simplify right side
    256,948.38x = 38,245,636,822.46
  5. Step 5: Solve for x
    x = 38,245,636,822.46/256,948.38
  6. Step 6: Final answer
    x = 148,845.60

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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.