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Finding the Fourth Proportional to 343,722.20, 515,000.10 and 284,235.80

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Solution

The fourth proportional to 343,722.20, 515,000.10 and 284,235.80 is: 425,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,722.20 : 515,000.10 = 284,235.80 : x
  2. Step 2: Convert to fraction form
    343,722.20/515,000.10 = 284,235.80/x
  3. Step 3: Cross multiply
    343,722.20x = 515,000.10 × 284,235.80
  4. Step 4: Simplify right side
    343,722.20x = 146,381,465,423.58
  5. Step 5: Solve for x
    x = 146,381,465,423.58/343,722.20
  6. Step 6: Final answer
    x = 425,871.43

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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.