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Finding the Fourth Proportional to 218,722.66, 328,083.95 and 52,510.66

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Solution

The fourth proportional to 218,722.66, 328,083.95 and 52,510.66 is: 78,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,722.66 : 328,083.95 = 52,510.66 : x
  2. Step 2: Convert to fraction form
    218,722.66/328,083.95 = 52,510.66/x
  3. Step 3: Cross multiply
    218,722.66x = 328,083.95 × 52,510.66
  4. Step 4: Simplify right side
    218,722.66x = 17,227,904,060.97
  5. Step 5: Solve for x
    x = 17,227,904,060.97/218,722.66
  6. Step 6: Final answer
    x = 78,765.98

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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.