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Finding the Fourth Proportional to 729,718.68, 1,007,179.74 and 428,009.88

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Solution

The fourth proportional to 729,718.68, 1,007,179.74 and 428,009.88 is: 590,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,718.68 : 1,007,179.74 = 428,009.88 : x
  2. Step 2: Convert to fraction form
    729,718.68/1,007,179.74 = 428,009.88/x
  3. Step 3: Cross multiply
    729,718.68x = 1,007,179.74 × 428,009.88
  4. Step 4: Simplify right side
    729,718.68x = 431,082,879,655.83
  5. Step 5: Solve for x
    x = 431,082,879,655.83/729,718.68
  6. Step 6: Final answer
    x = 590,752.15

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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.