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Finding the Fourth Proportional to 290,920.62, 401,013 and 266,513.70

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Solution

The fourth proportional to 290,920.62, 401,013 and 266,513.70 is: 367,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,920.62 : 401,013 = 266,513.70 : x
  2. Step 2: Convert to fraction form
    290,920.62/401,013 = 266,513.70/x
  3. Step 3: Cross multiply
    290,920.62x = 401,013 × 266,513.70
  4. Step 4: Simplify right side
    290,920.62x = 106,875,458,378.10
  5. Step 5: Solve for x
    x = 106,875,458,378.10/290,920.62
  6. Step 6: Final answer
    x = 367,369.83

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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.