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Finding the Fourth Proportional to 407,011.91, 610,883.78 and 217,634.15

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Solution

The fourth proportional to 407,011.91, 610,883.78 and 217,634.15 is: 326,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,011.91 : 610,883.78 = 217,634.15 : x
  2. Step 2: Convert to fraction form
    407,011.91/610,883.78 = 217,634.15/x
  3. Step 3: Cross multiply
    407,011.91x = 610,883.78 × 217,634.15
  4. Step 4: Simplify right side
    407,011.91x = 132,949,168,066.50
  5. Step 5: Solve for x
    x = 132,949,168,066.50/407,011.91
  6. Step 6: Final answer
    x = 326,646.87

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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.