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Finding the Fourth Proportional to 409,489.12, 614,300.56 and 128,940.72

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Solution

The fourth proportional to 409,489.12, 614,300.56 and 128,940.72 is: 193,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,489.12 : 614,300.56 = 128,940.72 : x
  2. Step 2: Convert to fraction form
    409,489.12/614,300.56 = 128,940.72/x
  3. Step 3: Cross multiply
    409,489.12x = 614,300.56 × 128,940.72
  4. Step 4: Simplify right side
    409,489.12x = 79,208,356,502.80
  5. Step 5: Solve for x
    x = 79,208,356,502.80/409,489.12
  6. Step 6: Final answer
    x = 193,432.14

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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.