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Finding the Fourth Proportional to 502,936.70, 694,070.88 and 288,118.28

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Solution

The fourth proportional to 502,936.70, 694,070.88 and 288,118.28 is: 397,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,936.70 : 694,070.88 = 288,118.28 : x
  2. Step 2: Convert to fraction form
    502,936.70/694,070.88 = 288,118.28/x
  3. Step 3: Cross multiply
    502,936.70x = 694,070.88 × 288,118.28
  4. Step 4: Simplify right side
    502,936.70x = 199,974,504,673.33
  5. Step 5: Solve for x
    x = 199,974,504,673.33/502,936.70
  6. Step 6: Final answer
    x = 397,613.67

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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.