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Finding the Fourth Proportional to 218,718.76, 328,078.08 and 52,506.76

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Solution

The fourth proportional to 218,718.76, 328,078.08 and 52,506.76 is: 78,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718.76 : 328,078.08 = 52,506.76 : x
  2. Step 2: Convert to fraction form
    218,718.76/328,078.08 = 52,506.76/x
  3. Step 3: Cross multiply
    218,718.76x = 328,078.08 × 52,506.76
  4. Step 4: Simplify right side
    218,718.76x = 17,226,317,007.82
  5. Step 5: Solve for x
    x = 17,226,317,007.82/218,718.76
  6. Step 6: Final answer
    x = 78,760.13

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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.