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Finding the Fourth Proportional to 409,722.80, 614,929.80 and 199,540.40

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Solution

The fourth proportional to 409,722.80, 614,929.80 and 199,540.40 is: 299,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,722.80 : 614,929.80 = 199,540.40 : x
  2. Step 2: Convert to fraction form
    409,722.80/614,929.80 = 199,540.40/x
  3. Step 3: Cross multiply
    409,722.80x = 614,929.80 × 199,540.40
  4. Step 4: Simplify right side
    409,722.80x = 122,703,338,263.92
  5. Step 5: Solve for x
    x = 122,703,338,263.92/409,722.80
  6. Step 6: Final answer
    x = 299,478.91

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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.