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Finding the Fourth Proportional to 409,838.60, 614,101.80 and 269,433.20

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Solution

The fourth proportional to 409,838.60, 614,101.80 and 269,433.20 is: 403,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,838.60 : 614,101.80 = 269,433.20 : x
  2. Step 2: Convert to fraction form
    409,838.60/614,101.80 = 269,433.20/x
  3. Step 3: Cross multiply
    409,838.60x = 614,101.80 × 269,433.20
  4. Step 4: Simplify right side
    409,838.60x = 165,459,413,099.76
  5. Step 5: Solve for x
    x = 165,459,413,099.76/409,838.60
  6. Step 6: Final answer
    x = 403,718.47

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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.