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Finding the Fourth Proportional to 407,695.06, 611,483.19 and 108,193.78

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Solution

The fourth proportional to 407,695.06, 611,483.19 and 108,193.78 is: 162,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,695.06 : 611,483.19 = 108,193.78 : x
  2. Step 2: Convert to fraction form
    407,695.06/611,483.19 = 108,193.78/x
  3. Step 3: Cross multiply
    407,695.06x = 611,483.19 × 108,193.78
  4. Step 4: Simplify right side
    407,695.06x = 66,158,677,732.56
  5. Step 5: Solve for x
    x = 66,158,677,732.56/407,695.06
  6. Step 6: Final answer
    x = 162,274.91

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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.