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Finding the Fourth Proportional to 282,464.80, 423,697.20 and 142,496.80

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Solution

The fourth proportional to 282,464.80, 423,697.20 and 142,496.80 is: 213,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,464.80 : 423,697.20 = 142,496.80 : x
  2. Step 2: Convert to fraction form
    282,464.80/423,697.20 = 142,496.80/x
  3. Step 3: Cross multiply
    282,464.80x = 423,697.20 × 142,496.80
  4. Step 4: Simplify right side
    282,464.80x = 60,375,495,168.96
  5. Step 5: Solve for x
    x = 60,375,495,168.96/282,464.80
  6. Step 6: Final answer
    x = 213,745.20

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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.