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Finding the Fourth Proportional to 290,337, 435,532.98 and 112,857.72

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Solution

The fourth proportional to 290,337, 435,532.98 and 112,857.72 is: 169,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,337 : 435,532.98 = 112,857.72 : x
  2. Step 2: Convert to fraction form
    290,337/435,532.98 = 112,857.72/x
  3. Step 3: Cross multiply
    290,337x = 435,532.98 × 112,857.72
  4. Step 4: Simplify right side
    290,337x = 49,153,259,107.61
  5. Step 5: Solve for x
    x = 49,153,259,107.61/290,337
  6. Step 6: Final answer
    x = 169,297.26

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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.