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Finding the Fourth Proportional to 360,421.36, 497,361.39 and 199,267

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Solution

The fourth proportional to 360,421.36, 497,361.39 and 199,267 is: 274,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,421.36 : 497,361.39 = 199,267 : x
  2. Step 2: Convert to fraction form
    360,421.36/497,361.39 = 199,267/x
  3. Step 3: Cross multiply
    360,421.36x = 497,361.39 × 199,267
  4. Step 4: Simplify right side
    360,421.36x = 99,107,712,101.13
  5. Step 5: Solve for x
    x = 99,107,712,101.13/360,421.36
  6. Step 6: Final answer
    x = 274,977.35

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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.