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Finding the Fourth Proportional to 666,877.28, 920,204.90 and 380,380.28

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Solution

The fourth proportional to 666,877.28, 920,204.90 and 380,380.28 is: 524,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,877.28 : 920,204.90 = 380,380.28 : x
  2. Step 2: Convert to fraction form
    666,877.28/920,204.90 = 380,380.28/x
  3. Step 3: Cross multiply
    666,877.28x = 920,204.90 × 380,380.28
  4. Step 4: Simplify right side
    666,877.28x = 350,027,791,016.45
  5. Step 5: Solve for x
    x = 350,027,791,016.45/666,877.28
  6. Step 6: Final answer
    x = 524,875.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.