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Finding the Fourth Proportional to 408,895.38, 564,271.41 and 225,128.13

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Solution

The fourth proportional to 408,895.38, 564,271.41 and 225,128.13 is: 310,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,895.38 : 564,271.41 = 225,128.13 : x
  2. Step 2: Convert to fraction form
    408,895.38/564,271.41 = 225,128.13/x
  3. Step 3: Cross multiply
    408,895.38x = 564,271.41 × 225,128.13
  4. Step 4: Simplify right side
    408,895.38x = 127,033,367,345.76
  5. Step 5: Solve for x
    x = 127,033,367,345.76/408,895.38
  6. Step 6: Final answer
    x = 310,674.50

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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.