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Finding the Fourth Proportional to 409,388.56, 614,176.32 and 125,119.57

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Solution

The fourth proportional to 409,388.56, 614,176.32 and 125,119.57 is: 187,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,388.56 : 614,176.32 = 125,119.57 : x
  2. Step 2: Convert to fraction form
    409,388.56/614,176.32 = 125,119.57/x
  3. Step 3: Cross multiply
    409,388.56x = 614,176.32 × 125,119.57
  4. Step 4: Simplify right side
    409,388.56x = 76,845,473,366.10
  5. Step 5: Solve for x
    x = 76,845,473,366.10/409,388.56
  6. Step 6: Final answer
    x = 187,707.92

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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.