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Finding the Fourth Proportional to 360,586.50, 497,549.97 and 199,410

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Solution

The fourth proportional to 360,586.50, 497,549.97 and 199,410 is: 275,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,586.50 : 497,549.97 = 199,410 : x
  2. Step 2: Convert to fraction form
    360,586.50/497,549.97 = 199,410/x
  3. Step 3: Cross multiply
    360,586.50x = 497,549.97 × 199,410
  4. Step 4: Simplify right side
    360,586.50x = 99,216,439,517.70
  5. Step 5: Solve for x
    x = 99,216,439,517.70/360,586.50
  6. Step 6: Final answer
    x = 275,152.95

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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.