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Finding the Fourth Proportional to 377,466, 566,286.48 and 128,148

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Solution

The fourth proportional to 377,466, 566,286.48 and 128,148 is: 192,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,466 : 566,286.48 = 128,148 : x
  2. Step 2: Convert to fraction form
    377,466/566,286.48 = 128,148/x
  3. Step 3: Cross multiply
    377,466x = 566,286.48 × 128,148
  4. Step 4: Simplify right side
    377,466x = 72,568,479,839.04
  5. Step 5: Solve for x
    x = 72,568,479,839.04/377,466
  6. Step 6: Final answer
    x = 192,251.70

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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.