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Finding the Fourth Proportional to 490,115.80, 734,201.70 and 431,666.20

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Solution

The fourth proportional to 490,115.80, 734,201.70 and 431,666.20 is: 646,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,115.80 : 734,201.70 = 431,666.20 : x
  2. Step 2: Convert to fraction form
    490,115.80/734,201.70 = 431,666.20/x
  3. Step 3: Cross multiply
    490,115.80x = 734,201.70 × 431,666.20
  4. Step 4: Simplify right side
    490,115.80x = 316,930,057,872.54
  5. Step 5: Solve for x
    x = 316,930,057,872.54/490,115.80
  6. Step 6: Final answer
    x = 646,643.22

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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.