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Finding the Fourth Proportional to 427,712.79, 641,569.20 and 112,169.69

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Solution

The fourth proportional to 427,712.79, 641,569.20 and 112,169.69 is: 168,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,712.79 : 641,569.20 = 112,169.69 : x
  2. Step 2: Convert to fraction form
    427,712.79/641,569.20 = 112,169.69/x
  3. Step 3: Cross multiply
    427,712.79x = 641,569.20 × 112,169.69
  4. Step 4: Simplify right side
    427,712.79x = 71,964,618,277.55
  5. Step 5: Solve for x
    x = 71,964,618,277.55/427,712.79
  6. Step 6: Final answer
    x = 168,254.54

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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.