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Finding the Fourth Proportional to 409,357.50, 614,058.12 and 128,896.62

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Solution

The fourth proportional to 409,357.50, 614,058.12 and 128,896.62 is: 193,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,357.50 : 614,058.12 = 128,896.62 : x
  2. Step 2: Convert to fraction form
    409,357.50/614,058.12 = 128,896.62/x
  3. Step 3: Cross multiply
    409,357.50x = 614,058.12 × 128,896.62
  4. Step 4: Simplify right side
    409,357.50x = 79,150,016,151.55
  5. Step 5: Solve for x
    x = 79,150,016,151.55/409,357.50
  6. Step 6: Final answer
    x = 193,351.82

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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.