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Finding the Fourth Proportional to 290,704.72, 400,913.70 and 188,632.72

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Solution

The fourth proportional to 290,704.72, 400,913.70 and 188,632.72 is: 260,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,704.72 : 400,913.70 = 188,632.72 : x
  2. Step 2: Convert to fraction form
    290,704.72/400,913.70 = 188,632.72/x
  3. Step 3: Cross multiply
    290,704.72x = 400,913.70 × 188,632.72
  4. Step 4: Simplify right side
    290,704.72x = 75,625,441,716.26
  5. Step 5: Solve for x
    x = 75,625,441,716.26/290,704.72
  6. Step 6: Final answer
    x = 260,145.21

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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.