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Finding the Fourth Proportional to 409,854.60, 614,125.80 and 269,449.20

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Solution

The fourth proportional to 409,854.60, 614,125.80 and 269,449.20 is: 403,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,854.60 : 614,125.80 = 269,449.20 : x
  2. Step 2: Convert to fraction form
    409,854.60/614,125.80 = 269,449.20/x
  3. Step 3: Cross multiply
    409,854.60x = 614,125.80 × 269,449.20
  4. Step 4: Simplify right side
    409,854.60x = 165,475,705,509.36
  5. Step 5: Solve for x
    x = 165,475,705,509.36/409,854.60
  6. Step 6: Final answer
    x = 403,742.46

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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.