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Finding the Fourth Proportional to 273,005.20, 409,434.90 and 83,465.20

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Solution

The fourth proportional to 273,005.20, 409,434.90 and 83,465.20 is: 125,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,005.20 : 409,434.90 = 83,465.20 : x
  2. Step 2: Convert to fraction form
    273,005.20/409,434.90 = 83,465.20/x
  3. Step 3: Cross multiply
    273,005.20x = 409,434.90 × 83,465.20
  4. Step 4: Simplify right side
    273,005.20x = 34,173,565,815.48
  5. Step 5: Solve for x
    x = 34,173,565,815.48/273,005.20
  6. Step 6: Final answer
    x = 125,175.51

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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.