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Finding the Fourth Proportional to 409,632.48, 614,483.28 and 129,166.56

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Solution

The fourth proportional to 409,632.48, 614,483.28 and 129,166.56 is: 193,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,632.48 : 614,483.28 = 129,166.56 : x
  2. Step 2: Convert to fraction form
    409,632.48/614,483.28 = 129,166.56/x
  3. Step 3: Cross multiply
    409,632.48x = 614,483.28 × 129,166.56
  4. Step 4: Simplify right side
    409,632.48x = 79,370,691,455.12
  5. Step 5: Solve for x
    x = 79,370,691,455.12/409,632.48
  6. Step 6: Final answer
    x = 193,760.74

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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.