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Finding the Fourth Proportional to 586,689.45, 809,713.46 and 423,872.90

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Solution

The fourth proportional to 586,689.45, 809,713.46 and 423,872.90 is: 585,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,689.45 : 809,713.46 = 423,872.90 : x
  2. Step 2: Convert to fraction form
    586,689.45/809,713.46 = 423,872.90/x
  3. Step 3: Cross multiply
    586,689.45x = 809,713.46 × 423,872.90
  4. Step 4: Simplify right side
    586,689.45x = 343,215,586,291.30
  5. Step 5: Solve for x
    x = 343,215,586,291.30/586,689.45
  6. Step 6: Final answer
    x = 585,003.85

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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.