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Finding the Fourth Proportional to 408,670.28, 612,673.26 and 142,617.63

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Solution

The fourth proportional to 408,670.28, 612,673.26 and 142,617.63 is: 213,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,670.28 : 612,673.26 = 142,617.63 : x
  2. Step 2: Convert to fraction form
    408,670.28/612,673.26 = 142,617.63/x
  3. Step 3: Cross multiply
    408,670.28x = 612,673.26 × 142,617.63
  4. Step 4: Simplify right side
    408,670.28x = 87,378,007,023.11
  5. Step 5: Solve for x
    x = 87,378,007,023.11/408,670.28
  6. Step 6: Final answer
    x = 213,810.53

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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.