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Finding the Fourth Proportional to 409,716.80, 614,575.20 and 209,970.80

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Solution

The fourth proportional to 409,716.80, 614,575.20 and 209,970.80 is: 314,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,716.80 : 614,575.20 = 209,970.80 : x
  2. Step 2: Convert to fraction form
    409,716.80/614,575.20 = 209,970.80/x
  3. Step 3: Cross multiply
    409,716.80x = 614,575.20 × 209,970.80
  4. Step 4: Simplify right side
    409,716.80x = 129,042,846,404.16
  5. Step 5: Solve for x
    x = 129,042,846,404.16/409,716.80
  6. Step 6: Final answer
    x = 314,956.20

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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.