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Finding the Fourth Proportional to 431,410.30, 647,115.45 and 221,458.30

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Solution

The fourth proportional to 431,410.30, 647,115.45 and 221,458.30 is: 332,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,410.30 : 647,115.45 = 221,458.30 : x
  2. Step 2: Convert to fraction form
    431,410.30/647,115.45 = 221,458.30/x
  3. Step 3: Cross multiply
    431,410.30x = 647,115.45 × 221,458.30
  4. Step 4: Simplify right side
    431,410.30x = 143,309,087,460.74
  5. Step 5: Solve for x
    x = 143,309,087,460.74/431,410.30
  6. Step 6: Final answer
    x = 332,187.45

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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.