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Finding the Fourth Proportional to 305,288.29, 455,708.77 and 282,775.76

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Solution

The fourth proportional to 305,288.29, 455,708.77 and 282,775.76 is: 422,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,288.29 : 455,708.77 = 282,775.76 : x
  2. Step 2: Convert to fraction form
    305,288.29/455,708.77 = 282,775.76/x
  3. Step 3: Cross multiply
    305,288.29x = 455,708.77 × 282,775.76
  4. Step 4: Simplify right side
    305,288.29x = 128,863,393,775.42
  5. Step 5: Solve for x
    x = 128,863,393,775.42/305,288.29
  6. Step 6: Final answer
    x = 422,103.95

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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.