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Finding the Fourth Proportional to 474,614.64, 655,157.16 and 311,333.28

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Solution

The fourth proportional to 474,614.64, 655,157.16 and 311,333.28 is: 429,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,614.64 : 655,157.16 = 311,333.28 : x
  2. Step 2: Convert to fraction form
    474,614.64/655,157.16 = 311,333.28/x
  3. Step 3: Cross multiply
    474,614.64x = 655,157.16 × 311,333.28
  4. Step 4: Simplify right side
    474,614.64x = 203,972,227,538.29
  5. Step 5: Solve for x
    x = 203,972,227,538.29/474,614.64
  6. Step 6: Final answer
    x = 429,763.88

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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.