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Finding the Fourth Proportional to 360,329.28, 497,238.72 and 199,176

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Solution

The fourth proportional to 360,329.28, 497,238.72 and 199,176 is: 274,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,329.28 : 497,238.72 = 199,176 : x
  2. Step 2: Convert to fraction form
    360,329.28/497,238.72 = 199,176/x
  3. Step 3: Cross multiply
    360,329.28x = 497,238.72 × 199,176
  4. Step 4: Simplify right side
    360,329.28x = 99,038,019,294.72
  5. Step 5: Solve for x
    x = 99,038,019,294.72/360,329.28
  6. Step 6: Final answer
    x = 274,854.21

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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.