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Finding the Fourth Proportional to 289,223.23, 433,733.23 and 86,758.97

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Solution

The fourth proportional to 289,223.23, 433,733.23 and 86,758.97 is: 130,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,223.23 : 433,733.23 = 86,758.97 : x
  2. Step 2: Convert to fraction form
    289,223.23/433,733.23 = 86,758.97/x
  3. Step 3: Cross multiply
    289,223.23x = 433,733.23 × 86,758.97
  4. Step 4: Simplify right side
    289,223.23x = 37,630,248,289.57
  5. Step 5: Solve for x
    x = 37,630,248,289.57/289,223.23
  6. Step 6: Final answer
    x = 130,107.97

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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.