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Finding the Fourth Proportional to 256,978.20, 385,482.42 and 99,207.48

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Solution

The fourth proportional to 256,978.20, 385,482.42 and 99,207.48 is: 148,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,978.20 : 385,482.42 = 99,207.48 : x
  2. Step 2: Convert to fraction form
    256,978.20/385,482.42 = 99,207.48/x
  3. Step 3: Cross multiply
    256,978.20x = 385,482.42 × 99,207.48
  4. Step 4: Simplify right side
    256,978.20x = 38,242,739,472.50
  5. Step 5: Solve for x
    x = 38,242,739,472.50/256,978.20
  6. Step 6: Final answer
    x = 148,817.06

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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.