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Finding the Fourth Proportional to 312,514.30, 431,269.75 and 169,274.40

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Solution

The fourth proportional to 312,514.30, 431,269.75 and 169,274.40 is: 233,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,514.30 : 431,269.75 = 169,274.40 : x
  2. Step 2: Convert to fraction form
    312,514.30/431,269.75 = 169,274.40/x
  3. Step 3: Cross multiply
    312,514.30x = 431,269.75 × 169,274.40
  4. Step 4: Simplify right side
    312,514.30x = 73,002,928,169.40
  5. Step 5: Solve for x
    x = 73,002,928,169.40/312,514.30
  6. Step 6: Final answer
    x = 233,598.68

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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.