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Finding the Fourth Proportional to 431,401.70, 647,102.55 and 406,907.30

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Solution

The fourth proportional to 431,401.70, 647,102.55 and 406,907.30 is: 610,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,401.70 : 647,102.55 = 406,907.30 : x
  2. Step 2: Convert to fraction form
    431,401.70/647,102.55 = 406,907.30/x
  3. Step 3: Cross multiply
    431,401.70x = 647,102.55 × 406,907.30
  4. Step 4: Simplify right side
    431,401.70x = 263,310,751,443.62
  5. Step 5: Solve for x
    x = 263,310,751,443.62/431,401.70
  6. Step 6: Final answer
    x = 610,360.95

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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.