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Finding the Fourth Proportional to 460,498, 690,785.88 and 128,074

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Solution

The fourth proportional to 460,498, 690,785.88 and 128,074 is: 192,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,498 : 690,785.88 = 128,074 : x
  2. Step 2: Convert to fraction form
    460,498/690,785.88 = 128,074/x
  3. Step 3: Cross multiply
    460,498x = 690,785.88 × 128,074
  4. Step 4: Simplify right side
    460,498x = 88,471,710,795.12
  5. Step 5: Solve for x
    x = 88,471,710,795.12/460,498
  6. Step 6: Final answer
    x = 192,121.81

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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.