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Finding the Fourth Proportional to 218,800.10, 328,200.15 and 52,588.10

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Solution

The fourth proportional to 218,800.10, 328,200.15 and 52,588.10 is: 78,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,800.10 : 328,200.15 = 52,588.10 : x
  2. Step 2: Convert to fraction form
    218,800.10/328,200.15 = 52,588.10/x
  3. Step 3: Cross multiply
    218,800.10x = 328,200.15 × 52,588.10
  4. Step 4: Simplify right side
    218,800.10x = 17,259,422,308.22
  5. Step 5: Solve for x
    x = 17,259,422,308.22/218,800.10
  6. Step 6: Final answer
    x = 78,882.15

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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.