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Finding the Fourth Proportional to 427,045.32, 640,350.36 and 142,633.44

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Solution

The fourth proportional to 427,045.32, 640,350.36 and 142,633.44 is: 213,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,045.32 : 640,350.36 = 142,633.44 : x
  2. Step 2: Convert to fraction form
    427,045.32/640,350.36 = 142,633.44/x
  3. Step 3: Cross multiply
    427,045.32x = 640,350.36 × 142,633.44
  4. Step 4: Simplify right side
    427,045.32x = 91,335,374,652.04
  5. Step 5: Solve for x
    x = 91,335,374,652.04/427,045.32
  6. Step 6: Final answer
    x = 213,877.47

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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.