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Finding the Fourth Proportional to 427,641.60, 641,465.10 and 112,095.78

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Solution

The fourth proportional to 427,641.60, 641,465.10 and 112,095.78 is: 168,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,641.60 : 641,465.10 = 112,095.78 : x
  2. Step 2: Convert to fraction form
    427,641.60/641,465.10 = 112,095.78/x
  3. Step 3: Cross multiply
    427,641.60x = 641,465.10 × 112,095.78
  4. Step 4: Simplify right side
    427,641.60x = 71,905,530,727.28
  5. Step 5: Solve for x
    x = 71,905,530,727.28/427,641.60
  6. Step 6: Final answer
    x = 168,144.38

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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.