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Finding the Fourth Proportional to 276,715.30, 415,073.02 and 213,627.52

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Solution

The fourth proportional to 276,715.30, 415,073.02 and 213,627.52 is: 320,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,715.30 : 415,073.02 = 213,627.52 : x
  2. Step 2: Convert to fraction form
    276,715.30/415,073.02 = 213,627.52/x
  3. Step 3: Cross multiply
    276,715.30x = 415,073.02 × 213,627.52
  4. Step 4: Simplify right side
    276,715.30x = 88,671,019,881.51
  5. Step 5: Solve for x
    x = 88,671,019,881.51/276,715.30
  6. Step 6: Final answer
    x = 320,441.33

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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.