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Finding the Fourth Proportional to 408,757.26, 564,724.94 and 312,298.76

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Solution

The fourth proportional to 408,757.26, 564,724.94 and 312,298.76 is: 431,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,757.26 : 564,724.94 = 312,298.76 : x
  2. Step 2: Convert to fraction form
    408,757.26/564,724.94 = 312,298.76/x
  3. Step 3: Cross multiply
    408,757.26x = 564,724.94 × 312,298.76
  4. Step 4: Simplify right side
    408,757.26x = 176,362,898,503.07
  5. Step 5: Solve for x
    x = 176,362,898,503.07/408,757.26
  6. Step 6: Final answer
    x = 431,461.20

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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.