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Finding the Fourth Proportional to 408,911.84, 612,686.28 and 142,525.52

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Solution

The fourth proportional to 408,911.84, 612,686.28 and 142,525.52 is: 213,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,911.84 : 612,686.28 = 142,525.52 : x
  2. Step 2: Convert to fraction form
    408,911.84/612,686.28 = 142,525.52/x
  3. Step 3: Cross multiply
    408,911.84x = 612,686.28 × 142,525.52
  4. Step 4: Simplify right side
    408,911.84x = 87,323,430,653.87
  5. Step 5: Solve for x
    x = 87,323,430,653.87/408,911.84
  6. Step 6: Final answer
    x = 213,550.75

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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.