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Finding the Fourth Proportional to 408,704.40, 564,271.20 and 279,858.48

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Solution

The fourth proportional to 408,704.40, 564,271.20 and 279,858.48 is: 386,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,704.40 : 564,271.20 = 279,858.48 : x
  2. Step 2: Convert to fraction form
    408,704.40/564,271.20 = 279,858.48/x
  3. Step 3: Cross multiply
    408,704.40x = 564,271.20 × 279,858.48
  4. Step 4: Simplify right side
    408,704.40x = 157,916,080,339.78
  5. Step 5: Solve for x
    x = 157,916,080,339.78/408,704.40
  6. Step 6: Final answer
    x = 386,382.14

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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.