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Finding the Fourth Proportional to 427,012.58, 640,585.29 and 142,615.10

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Solution

The fourth proportional to 427,012.58, 640,585.29 and 142,615.10 is: 213,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,012.58 : 640,585.29 = 142,615.10 : x
  2. Step 2: Convert to fraction form
    427,012.58/640,585.29 = 142,615.10/x
  3. Step 3: Cross multiply
    427,012.58x = 640,585.29 × 142,615.10
  4. Step 4: Simplify right side
    427,012.58x = 91,357,135,191.88
  5. Step 5: Solve for x
    x = 91,357,135,191.88/427,012.58
  6. Step 6: Final answer
    x = 213,944.83

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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.