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Finding the Fourth Proportional to 276,901.80, 415,024.65 and 206,699.10

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Solution

The fourth proportional to 276,901.80, 415,024.65 and 206,699.10 is: 309,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,901.80 : 415,024.65 = 206,699.10 : x
  2. Step 2: Convert to fraction form
    276,901.80/415,024.65 = 206,699.10/x
  3. Step 3: Cross multiply
    276,901.80x = 415,024.65 × 206,699.10
  4. Step 4: Simplify right side
    276,901.80x = 85,785,221,632.82
  5. Step 5: Solve for x
    x = 85,785,221,632.82/276,901.80
  6. Step 6: Final answer
    x = 309,803.77

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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.