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Finding the Fourth Proportional to 633,640.86, 950,475.87 and 212,920.38

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Solution

The fourth proportional to 633,640.86, 950,475.87 and 212,920.38 is: 319,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,640.86 : 950,475.87 = 212,920.38 : x
  2. Step 2: Convert to fraction form
    633,640.86/950,475.87 = 212,920.38/x
  3. Step 3: Cross multiply
    633,640.86x = 950,475.87 × 212,920.38
  4. Step 4: Simplify right side
    633,640.86x = 202,375,683,421.23
  5. Step 5: Solve for x
    x = 202,375,683,421.23/633,640.86
  6. Step 6: Final answer
    x = 319,385.47

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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.