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Finding the Fourth Proportional to 456,806.64, 685,616.98 and 217,215.92

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Solution

The fourth proportional to 456,806.64, 685,616.98 and 217,215.92 is: 326,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,806.64 : 685,616.98 = 217,215.92 : x
  2. Step 2: Convert to fraction form
    456,806.64/685,616.98 = 217,215.92/x
  3. Step 3: Cross multiply
    456,806.64x = 685,616.98 × 217,215.92
  4. Step 4: Simplify right side
    456,806.64x = 148,926,923,078.32
  5. Step 5: Solve for x
    x = 148,926,923,078.32/456,806.64
  6. Step 6: Final answer
    x = 326,017.42

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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.