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Finding the Fourth Proportional to 312,638.99, 431,590.56 and 209,450.86

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Solution

The fourth proportional to 312,638.99, 431,590.56 and 209,450.86 is: 289,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,638.99 : 431,590.56 = 209,450.86 : x
  2. Step 2: Convert to fraction form
    312,638.99/431,590.56 = 209,450.86/x
  3. Step 3: Cross multiply
    312,638.99x = 431,590.56 × 209,450.86
  4. Step 4: Simplify right side
    312,638.99x = 90,397,013,959.88
  5. Step 5: Solve for x
    x = 90,397,013,959.88/312,638.99
  6. Step 6: Final answer
    x = 289,141.84

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1.5x scale

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.