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Finding the Fourth Proportional to 409,718.60, 614,664.30 and 172,939.40

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Solution

The fourth proportional to 409,718.60, 614,664.30 and 172,939.40 is: 259,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,718.60 : 614,664.30 = 172,939.40 : x
  2. Step 2: Convert to fraction form
    409,718.60/614,664.30 = 172,939.40/x
  3. Step 3: Cross multiply
    409,718.60x = 614,664.30 × 172,939.40
  4. Step 4: Simplify right side
    409,718.60x = 106,299,675,243.42
  5. Step 5: Solve for x
    x = 106,299,675,243.42/409,718.60
  6. Step 6: Final answer
    x = 259,445.57

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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.