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Finding the Fourth Proportional to 427,029.86, 640,327.07 and 142,618.02

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Solution

The fourth proportional to 427,029.86, 640,327.07 and 142,618.02 is: 213,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,029.86 : 640,327.07 = 142,618.02 : x
  2. Step 2: Convert to fraction form
    427,029.86/640,327.07 = 142,618.02/x
  3. Step 3: Cross multiply
    427,029.86x = 640,327.07 × 142,618.02
  4. Step 4: Simplify right side
    427,029.86x = 91,322,178,875.80
  5. Step 5: Solve for x
    x = 91,322,178,875.80/427,029.86
  6. Step 6: Final answer
    x = 213,854.32

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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.