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Finding the Fourth Proportional to 409,338.16, 614,072.94 and 172,715.68

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Solution

The fourth proportional to 409,338.16, 614,072.94 and 172,715.68 is: 259,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,338.16 : 614,072.94 = 172,715.68 : x
  2. Step 2: Convert to fraction form
    409,338.16/614,072.94 = 172,715.68/x
  3. Step 3: Cross multiply
    409,338.16x = 614,072.94 × 172,715.68
  4. Step 4: Simplify right side
    409,338.16x = 106,060,025,401.70
  5. Step 5: Solve for x
    x = 106,060,025,401.70/409,338.16
  6. Step 6: Final answer
    x = 259,101.24

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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.