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Finding the Fourth Proportional to 408,109.25, 611,813.27 and 141,835.17

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Solution

The fourth proportional to 408,109.25, 611,813.27 and 141,835.17 is: 212,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,109.25 : 611,813.27 = 141,835.17 : x
  2. Step 2: Convert to fraction form
    408,109.25/611,813.27 = 141,835.17/x
  3. Step 3: Cross multiply
    408,109.25x = 611,813.27 × 141,835.17
  4. Step 4: Simplify right side
    408,109.25x = 86,776,639,158.71
  5. Step 5: Solve for x
    x = 86,776,639,158.71/408,109.25
  6. Step 6: Final answer
    x = 212,630.90

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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.