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Finding the Fourth Proportional to 282,442.60, 423,447.90 and 142,301.80

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Solution

The fourth proportional to 282,442.60, 423,447.90 and 142,301.80 is: 213,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442.60 : 423,447.90 = 142,301.80 : x
  2. Step 2: Convert to fraction form
    282,442.60/423,447.90 = 142,301.80/x
  3. Step 3: Cross multiply
    282,442.60x = 423,447.90 × 142,301.80
  4. Step 4: Simplify right side
    282,442.60x = 60,257,398,376.22
  5. Step 5: Solve for x
    x = 60,257,398,376.22/282,442.60
  6. Step 6: Final answer
    x = 213,343.87

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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.