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Finding the Fourth Proportional to 486,234.32, 728,979.68 and 401,728.64

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Solution

The fourth proportional to 486,234.32, 728,979.68 and 401,728.64 is: 602,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,234.32 : 728,979.68 = 401,728.64 : x
  2. Step 2: Convert to fraction form
    486,234.32/728,979.68 = 401,728.64/x
  3. Step 3: Cross multiply
    486,234.32x = 728,979.68 × 401,728.64
  4. Step 4: Simplify right side
    486,234.32x = 292,852,015,434.04
  5. Step 5: Solve for x
    x = 292,852,015,434.04/486,234.32
  6. Step 6: Final answer
    x = 602,285.78

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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.