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Finding the Fourth Proportional to 315,491.69, 472,758.69 and 231,307.90

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Solution

The fourth proportional to 315,491.69, 472,758.69 and 231,307.90 is: 346,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,491.69 : 472,758.69 = 231,307.90 : x
  2. Step 2: Convert to fraction form
    315,491.69/472,758.69 = 231,307.90/x
  3. Step 3: Cross multiply
    315,491.69x = 472,758.69 × 231,307.90
  4. Step 4: Simplify right side
    315,491.69x = 109,352,819,790.65
  5. Step 5: Solve for x
    x = 109,352,819,790.65/315,491.69
  6. Step 6: Final answer
    x = 346,610.78

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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.