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Finding the Fourth Proportional to 409,431.70, 614,233.95 and 128,977.30

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Solution

The fourth proportional to 409,431.70, 614,233.95 and 128,977.30 is: 193,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,431.70 : 614,233.95 = 128,977.30 : x
  2. Step 2: Convert to fraction form
    409,431.70/614,233.95 = 128,977.30/x
  3. Step 3: Cross multiply
    409,431.70x = 614,233.95 × 128,977.30
  4. Step 4: Simplify right side
    409,431.70x = 79,222,236,439.34
  5. Step 5: Solve for x
    x = 79,222,236,439.34/409,431.70
  6. Step 6: Final answer
    x = 193,493.17

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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.