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Finding the Fourth Proportional to 624,685.92, 862,065.48 and 338,206

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Solution

The fourth proportional to 624,685.92, 862,065.48 and 338,206 is: 466,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,685.92 : 862,065.48 = 338,206 : x
  2. Step 2: Convert to fraction form
    624,685.92/862,065.48 = 338,206/x
  3. Step 3: Cross multiply
    624,685.92x = 862,065.48 × 338,206
  4. Step 4: Simplify right side
    624,685.92x = 291,555,717,728.88
  5. Step 5: Solve for x
    x = 291,555,717,728.88/624,685.92
  6. Step 6: Final answer
    x = 466,723.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.