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Finding the Fourth Proportional to 409,409.46, 614,207.66 and 125,140.46

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Solution

The fourth proportional to 409,409.46, 614,207.66 and 125,140.46 is: 187,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,409.46 : 614,207.66 = 125,140.46 : x
  2. Step 2: Convert to fraction form
    409,409.46/614,207.66 = 125,140.46/x
  3. Step 3: Cross multiply
    409,409.46x = 614,207.66 × 125,140.46
  4. Step 4: Simplify right side
    409,409.46x = 76,862,225,411.18
  5. Step 5: Solve for x
    x = 76,862,225,411.18/409,409.46
  6. Step 6: Final answer
    x = 187,739.25

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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.