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Finding the Fourth Proportional to 312,655.38, 431,613.15 and 209,467.23

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Solution

The fourth proportional to 312,655.38, 431,613.15 and 209,467.23 is: 289,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,655.38 : 431,613.15 = 209,467.23 : x
  2. Step 2: Convert to fraction form
    312,655.38/431,613.15 = 209,467.23/x
  3. Step 3: Cross multiply
    312,655.38x = 431,613.15 × 209,467.23
  4. Step 4: Simplify right side
    312,655.38x = 90,408,810,962.07
  5. Step 5: Solve for x
    x = 90,408,810,962.07/312,655.38
  6. Step 6: Final answer
    x = 289,164.42

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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.