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Finding the Fourth Proportional to 409,421.98, 614,243.54 and 125,104.78

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Solution

The fourth proportional to 409,421.98, 614,243.54 and 125,104.78 is: 187,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,421.98 : 614,243.54 = 125,104.78 : x
  2. Step 2: Convert to fraction form
    409,421.98/614,243.54 = 125,104.78/x
  3. Step 3: Cross multiply
    409,421.98x = 614,243.54 × 125,104.78
  4. Step 4: Simplify right side
    409,421.98x = 76,844,802,938.12
  5. Step 5: Solve for x
    x = 76,844,802,938.12/409,421.98
  6. Step 6: Final answer
    x = 187,690.96

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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.