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Finding the Fourth Proportional to 408,566.45, 612,852.39 and 142,332

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Solution

The fourth proportional to 408,566.45, 612,852.39 and 142,332 is: 213,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,566.45 : 612,852.39 = 142,332 : x
  2. Step 2: Convert to fraction form
    408,566.45/612,852.39 = 142,332/x
  3. Step 3: Cross multiply
    408,566.45x = 612,852.39 × 142,332
  4. Step 4: Simplify right side
    408,566.45x = 87,228,506,373.48
  5. Step 5: Solve for x
    x = 87,228,506,373.48/408,566.45
  6. Step 6: Final answer
    x = 213,498.95

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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.