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Finding the Fourth Proportional to 275,320.80, 412,462.80 and 141,746.40

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Solution

The fourth proportional to 275,320.80, 412,462.80 and 141,746.40 is: 212,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,320.80 : 412,462.80 = 141,746.40 : x
  2. Step 2: Convert to fraction form
    275,320.80/412,462.80 = 141,746.40/x
  3. Step 3: Cross multiply
    275,320.80x = 412,462.80 × 141,746.40
  4. Step 4: Simplify right side
    275,320.80x = 58,465,117,033.92
  5. Step 5: Solve for x
    x = 58,465,117,033.92/275,320.80
  6. Step 6: Final answer
    x = 212,352.71

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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.