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Finding the Fourth Proportional to 276,866.10, 413,781.82 and 202,143.60

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Solution

The fourth proportional to 276,866.10, 413,781.82 and 202,143.60 is: 302,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,866.10 : 413,781.82 = 202,143.60 : x
  2. Step 2: Convert to fraction form
    276,866.10/413,781.82 = 202,143.60/x
  3. Step 3: Cross multiply
    276,866.10x = 413,781.82 × 202,143.60
  4. Step 4: Simplify right side
    276,866.10x = 83,643,346,203.99
  5. Step 5: Solve for x
    x = 83,643,346,203.99/276,866.10
  6. Step 6: Final answer
    x = 302,107.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.