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Finding the Fourth Proportional to 309,037.40, 463,728.90 and 131,514.20

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Solution

The fourth proportional to 309,037.40, 463,728.90 and 131,514.20 is: 197,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,037.40 : 463,728.90 = 131,514.20 : x
  2. Step 2: Convert to fraction form
    309,037.40/463,728.90 = 131,514.20/x
  3. Step 3: Cross multiply
    309,037.40x = 463,728.90 × 131,514.20
  4. Step 4: Simplify right side
    309,037.40x = 60,986,935,300.38
  5. Step 5: Solve for x
    x = 60,986,935,300.38/309,037.40
  6. Step 6: Final answer
    x = 197,344.84

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1.5x scale

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.