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Finding the Fourth Proportional to 409,790.31, 614,794.91 and 129,312.87

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Solution

The fourth proportional to 409,790.31, 614,794.91 and 129,312.87 is: 194,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,790.31 : 614,794.91 = 129,312.87 : x
  2. Step 2: Convert to fraction form
    409,790.31/614,794.91 = 129,312.87/x
  3. Step 3: Cross multiply
    409,790.31x = 614,794.91 × 129,312.87
  4. Step 4: Simplify right side
    409,790.31x = 79,500,893,626.93
  5. Step 5: Solve for x
    x = 79,500,893,626.93/409,790.31
  6. Step 6: Final answer
    x = 194,003.84

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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.