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Finding the Fourth Proportional to 460,199.80, 690,017.82 and 179,389

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Solution

The fourth proportional to 460,199.80, 690,017.82 and 179,389 is: 268,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,199.80 : 690,017.82 = 179,389 : x
  2. Step 2: Convert to fraction form
    460,199.80/690,017.82 = 179,389/x
  3. Step 3: Cross multiply
    460,199.80x = 690,017.82 × 179,389
  4. Step 4: Simplify right side
    460,199.80x = 123,781,606,711.98
  5. Step 5: Solve for x
    x = 123,781,606,711.98/460,199.80
  6. Step 6: Final answer
    x = 268,973.62

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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.