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Finding the Fourth Proportional to 486,427.80, 729,252.90 and 205,714.20

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Solution

The fourth proportional to 486,427.80, 729,252.90 and 205,714.20 is: 308,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,427.80 : 729,252.90 = 205,714.20 : x
  2. Step 2: Convert to fraction form
    486,427.80/729,252.90 = 205,714.20/x
  3. Step 3: Cross multiply
    486,427.80x = 729,252.90 × 205,714.20
  4. Step 4: Simplify right side
    486,427.80x = 150,017,676,921.18
  5. Step 5: Solve for x
    x = 150,017,676,921.18/486,427.80
  6. Step 6: Final answer
    x = 308,406.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.