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Finding the Fourth Proportional to 427,290.32, 640,886.52 and 111,777.68

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Solution

The fourth proportional to 427,290.32, 640,886.52 and 111,777.68 is: 167,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,290.32 : 640,886.52 = 111,777.68 : x
  2. Step 2: Convert to fraction form
    427,290.32/640,886.52 = 111,777.68/x
  3. Step 3: Cross multiply
    427,290.32x = 640,886.52 × 111,777.68
  4. Step 4: Simplify right side
    427,290.32x = 71,636,808,348.87
  5. Step 5: Solve for x
    x = 71,636,808,348.87/427,290.32
  6. Step 6: Final answer
    x = 167,653.71

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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.