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Finding the Fourth Proportional to 408,913.84, 612,689.28 and 142,527.52

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Solution

The fourth proportional to 408,913.84, 612,689.28 and 142,527.52 is: 213,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,913.84 : 612,689.28 = 142,527.52 : x
  2. Step 2: Convert to fraction form
    408,913.84/612,689.28 = 142,527.52/x
  3. Step 3: Cross multiply
    408,913.84x = 612,689.28 × 142,527.52
  4. Step 4: Simplify right side
    408,913.84x = 87,325,083,608.99
  5. Step 5: Solve for x
    x = 87,325,083,608.99/408,913.84
  6. Step 6: Final answer
    x = 213,553.75

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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.