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Finding the Fourth Proportional to 256,996.80, 385,562.40 and 99,230.40

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Solution

The fourth proportional to 256,996.80, 385,562.40 and 99,230.40 is: 148,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,996.80 : 385,562.40 = 99,230.40 : x
  2. Step 2: Convert to fraction form
    256,996.80/385,562.40 = 99,230.40/x
  3. Step 3: Cross multiply
    256,996.80x = 385,562.40 × 99,230.40
  4. Step 4: Simplify right side
    256,996.80x = 38,259,511,176.96
  5. Step 5: Solve for x
    x = 38,259,511,176.96/256,996.80
  6. Step 6: Final answer
    x = 148,871.55

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1.5x scale

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.