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Finding the Fourth Proportional to 276,354.70, 413,948.85 and 216,868.30

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Solution

The fourth proportional to 276,354.70, 413,948.85 and 216,868.30 is: 324,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,354.70 : 413,948.85 = 216,868.30 : x
  2. Step 2: Convert to fraction form
    276,354.70/413,948.85 = 216,868.30/x
  3. Step 3: Cross multiply
    276,354.70x = 413,948.85 × 216,868.30
  4. Step 4: Simplify right side
    276,354.70x = 89,772,383,386.46
  5. Step 5: Solve for x
    x = 89,772,383,386.46/276,354.70
  6. Step 6: Final answer
    x = 324,844.79

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1.5x scale

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.