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Finding the Fourth Proportional to 431,412.45, 647,118.68 and 221,460.45

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Solution

The fourth proportional to 431,412.45, 647,118.68 and 221,460.45 is: 332,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,412.45 : 647,118.68 = 221,460.45 : x
  2. Step 2: Convert to fraction form
    431,412.45/647,118.68 = 221,460.45/x
  3. Step 3: Cross multiply
    431,412.45x = 647,118.68 × 221,460.45
  4. Step 4: Simplify right side
    431,412.45x = 143,311,192,968.90
  5. Step 5: Solve for x
    x = 143,311,192,968.90/431,412.45
  6. Step 6: Final answer
    x = 332,190.68

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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.