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Finding the Fourth Proportional to 409,680.86, 614,521.30 and 129,219.98

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Solution

The fourth proportional to 409,680.86, 614,521.30 and 129,219.98 is: 193,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,680.86 : 614,521.30 = 129,219.98 : x
  2. Step 2: Convert to fraction form
    409,680.86/614,521.30 = 129,219.98/x
  3. Step 3: Cross multiply
    409,680.86x = 614,521.30 × 129,219.98
  4. Step 4: Simplify right side
    409,680.86x = 79,408,430,095.57
  5. Step 5: Solve for x
    x = 79,408,430,095.57/409,680.86
  6. Step 6: Final answer
    x = 193,829.97

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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.