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Finding the Fourth Proportional to 490,461.80, 734,720.70 and 432,012.20

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Solution

The fourth proportional to 490,461.80, 734,720.70 and 432,012.20 is: 647,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,461.80 : 734,720.70 = 432,012.20 : x
  2. Step 2: Convert to fraction form
    490,461.80/734,720.70 = 432,012.20/x
  3. Step 3: Cross multiply
    490,461.80x = 734,720.70 × 432,012.20
  4. Step 4: Simplify right side
    490,461.80x = 317,408,305,992.54
  5. Step 5: Solve for x
    x = 317,408,305,992.54/490,461.80
  6. Step 6: Final answer
    x = 647,162.14

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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.