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Finding the Fourth Proportional to 408,868.95, 613,383.65 and 142,638.15

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Solution

The fourth proportional to 408,868.95, 613,383.65 and 142,638.15 is: 213,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,868.95 : 613,383.65 = 142,638.15 : x
  2. Step 2: Convert to fraction form
    408,868.95/613,383.65 = 142,638.15/x
  3. Step 3: Cross multiply
    408,868.95x = 613,383.65 × 142,638.15
  4. Step 4: Simplify right side
    408,868.95x = 87,491,909,076.25
  5. Step 5: Solve for x
    x = 87,491,909,076.25/408,868.95
  6. Step 6: Final answer
    x = 213,985.21

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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.