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Finding the Fourth Proportional to 408,615.93, 612,926.63 and 142,381.49

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Solution

The fourth proportional to 408,615.93, 612,926.63 and 142,381.49 is: 213,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,615.93 : 612,926.63 = 142,381.49 : x
  2. Step 2: Convert to fraction form
    408,615.93/612,926.63 = 142,381.49/x
  3. Step 3: Cross multiply
    408,615.93x = 612,926.63 × 142,381.49
  4. Step 4: Simplify right side
    408,615.93x = 87,269,403,063.54
  5. Step 5: Solve for x
    x = 87,269,403,063.54/408,615.93
  6. Step 6: Final answer
    x = 213,573.18

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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.