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Finding the Fourth Proportional to 409,888.71, 614,786.88 and 110,391.21

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Solution

The fourth proportional to 409,888.71, 614,786.88 and 110,391.21 is: 165,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,888.71 : 614,786.88 = 110,391.21 : x
  2. Step 2: Convert to fraction form
    409,888.71/614,786.88 = 110,391.21/x
  3. Step 3: Cross multiply
    409,888.71x = 614,786.88 × 110,391.21
  4. Step 4: Simplify right side
    409,888.71x = 67,867,067,575.32
  5. Step 5: Solve for x
    x = 67,867,067,575.32/409,888.71
  6. Step 6: Final answer
    x = 165,574.38

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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.