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Finding the Fourth Proportional to 408,781.15, 613,146.47 and 152,563.84

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Solution

The fourth proportional to 408,781.15, 613,146.47 and 152,563.84 is: 228,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,781.15 : 613,146.47 = 152,563.84 : x
  2. Step 2: Convert to fraction form
    408,781.15/613,146.47 = 152,563.84/x
  3. Step 3: Cross multiply
    408,781.15x = 613,146.47 × 152,563.84
  4. Step 4: Simplify right side
    408,781.15x = 93,543,979,945.64
  5. Step 5: Solve for x
    x = 93,543,979,945.64/408,781.15
  6. Step 6: Final answer
    x = 228,836.33

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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.