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Finding the Fourth Proportional to 470,874, 649,785 and 266,922

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Solution

The fourth proportional to 470,874, 649,785 and 266,922 is: 368,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,874 : 649,785 = 266,922 : x
  2. Step 2: Convert to fraction form
    470,874/649,785 = 266,922/x
  3. Step 3: Cross multiply
    470,874x = 649,785 × 266,922
  4. Step 4: Simplify right side
    470,874x = 173,441,911,770
  5. Step 5: Solve for x
    x = 173,441,911,770/470,874
  6. Step 6: Final answer
    x = 368,340.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.