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Finding the Fourth Proportional to 218,862.40, 328,293.60 and 113,886.40

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Solution

The fourth proportional to 218,862.40, 328,293.60 and 113,886.40 is: 170,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862.40 : 328,293.60 = 113,886.40 : x
  2. Step 2: Convert to fraction form
    218,862.40/328,293.60 = 113,886.40/x
  3. Step 3: Cross multiply
    218,862.40x = 328,293.60 × 113,886.40
  4. Step 4: Simplify right side
    218,862.40x = 37,388,176,247.04
  5. Step 5: Solve for x
    x = 37,388,176,247.04/218,862.40
  6. Step 6: Final answer
    x = 170,829.60

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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.