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Finding the Fourth Proportional to 427,246.80, 640,814.58 and 111,728.04

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Solution

The fourth proportional to 427,246.80, 640,814.58 and 111,728.04 is: 167,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,246.80 : 640,814.58 = 111,728.04 : x
  2. Step 2: Convert to fraction form
    427,246.80/640,814.58 = 111,728.04/x
  3. Step 3: Cross multiply
    427,246.80x = 640,814.58 × 111,728.04
  4. Step 4: Simplify right side
    427,246.80x = 71,596,957,026.82
  5. Step 5: Solve for x
    x = 71,596,957,026.82/427,246.80
  6. Step 6: Final answer
    x = 167,577.51

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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.