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Finding the Fourth Proportional to 218,827.08, 328,109.40 and 100,350

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Solution

The fourth proportional to 218,827.08, 328,109.40 and 100,350 is: 150,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,827.08 : 328,109.40 = 100,350 : x
  2. Step 2: Convert to fraction form
    218,827.08/328,109.40 = 100,350/x
  3. Step 3: Cross multiply
    218,827.08x = 328,109.40 × 100,350
  4. Step 4: Simplify right side
    218,827.08x = 32,925,778,290.00
  5. Step 5: Solve for x
    x = 32,925,778,290.00/218,827.08
  6. Step 6: Final answer
    x = 150,464.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.