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Finding the Fourth Proportional to 407,634.64, 611,255.13 and 170,913.76

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Solution

The fourth proportional to 407,634.64, 611,255.13 and 170,913.76 is: 256,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,634.64 : 611,255.13 = 170,913.76 : x
  2. Step 2: Convert to fraction form
    407,634.64/611,255.13 = 170,913.76/x
  3. Step 3: Cross multiply
    407,634.64x = 611,255.13 × 170,913.76
  4. Step 4: Simplify right side
    407,634.64x = 104,471,912,587.59
  5. Step 5: Solve for x
    x = 104,471,912,587.59/407,634.64
  6. Step 6: Final answer
    x = 256,288.11

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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.