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Finding the Fourth Proportional to 360,396.90, 497,358.12 and 199,262.36

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Solution

The fourth proportional to 360,396.90, 497,358.12 and 199,262.36 is: 274,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,396.90 : 497,358.12 = 199,262.36 : x
  2. Step 2: Convert to fraction form
    360,396.90/497,358.12 = 199,262.36/x
  3. Step 3: Cross multiply
    360,396.90x = 497,358.12 × 199,262.36
  4. Step 4: Simplify right side
    360,396.90x = 99,104,752,756.36
  5. Step 5: Solve for x
    x = 99,104,752,756.36/360,396.90
  6. Step 6: Final answer
    x = 274,987.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.