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Finding the Fourth Proportional to 218,858.76, 328,288.14 and 52,646.76

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Solution

The fourth proportional to 218,858.76, 328,288.14 and 52,646.76 is: 78,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,858.76 : 328,288.14 = 52,646.76 : x
  2. Step 2: Convert to fraction form
    218,858.76/328,288.14 = 52,646.76/x
  3. Step 3: Cross multiply
    218,858.76x = 328,288.14 × 52,646.76
  4. Step 4: Simplify right side
    218,858.76x = 17,283,306,917.43
  5. Step 5: Solve for x
    x = 17,283,306,917.43/218,858.76
  6. Step 6: Final answer
    x = 78,970.14

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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.