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Finding the Fourth Proportional to 312,703.36, 431,679.36 and 209,515.24

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Solution

The fourth proportional to 312,703.36, 431,679.36 and 209,515.24 is: 289,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,703.36 : 431,679.36 = 209,515.24 : x
  2. Step 2: Convert to fraction form
    312,703.36/431,679.36 = 209,515.24/x
  3. Step 3: Cross multiply
    312,703.36x = 431,679.36 × 209,515.24
  4. Step 4: Simplify right side
    312,703.36x = 90,443,404,713.45
  5. Step 5: Solve for x
    x = 90,443,404,713.45/312,703.36
  6. Step 6: Final answer
    x = 289,230.68

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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.