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Finding the Fourth Proportional to 410,365.11, 614,414.07 and 210,254.61

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Solution

The fourth proportional to 410,365.11, 614,414.07 and 210,254.61 is: 314,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,365.11 : 614,414.07 = 210,254.61 : x
  2. Step 2: Convert to fraction form
    410,365.11/614,414.07 = 210,254.61/x
  3. Step 3: Cross multiply
    410,365.11x = 614,414.07 × 210,254.61
  4. Step 4: Simplify right side
    410,365.11x = 129,183,390,666.36
  5. Step 5: Solve for x
    x = 129,183,390,666.36/410,365.11
  6. Step 6: Final answer
    x = 314,801.11

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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.