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Finding the Fourth Proportional to 408,107.50, 611,810.65 and 141,833.42

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Solution

The fourth proportional to 408,107.50, 611,810.65 and 141,833.42 is: 212,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107.50 : 611,810.65 = 141,833.42 : x
  2. Step 2: Convert to fraction form
    408,107.50/611,810.65 = 141,833.42/x
  3. Step 3: Cross multiply
    408,107.50x = 611,810.65 × 141,833.42
  4. Step 4: Simplify right side
    408,107.50x = 86,775,196,881.92
  5. Step 5: Solve for x
    x = 86,775,196,881.92/408,107.50
  6. Step 6: Final answer
    x = 212,628.28

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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.