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Finding the Fourth Proportional to 218,640.80, 328,018.80 and 78,384.80

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Solution

The fourth proportional to 218,640.80, 328,018.80 and 78,384.80 is: 117,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,640.80 : 328,018.80 = 78,384.80 : x
  2. Step 2: Convert to fraction form
    218,640.80/328,018.80 = 78,384.80/x
  3. Step 3: Cross multiply
    218,640.80x = 328,018.80 × 78,384.80
  4. Step 4: Simplify right side
    218,640.80x = 25,711,688,034.24
  5. Step 5: Solve for x
    x = 25,711,688,034.24/218,640.80
  6. Step 6: Final answer
    x = 117,597.85

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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.