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Finding the Fourth Proportional to 427,335.68, 641,039.92 and 111,792.08

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Solution

The fourth proportional to 427,335.68, 641,039.92 and 111,792.08 is: 167,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,335.68 : 641,039.92 = 111,792.08 : x
  2. Step 2: Convert to fraction form
    427,335.68/641,039.92 = 111,792.08/x
  3. Step 3: Cross multiply
    427,335.68x = 641,039.92 × 111,792.08
  4. Step 4: Simplify right side
    427,335.68x = 71,663,186,019.83
  5. Step 5: Solve for x
    x = 71,663,186,019.83/427,335.68
  6. Step 6: Final answer
    x = 167,697.64

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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.