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Finding the Fourth Proportional to 360,257.30, 497,180.81 and 199,108.89

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Solution

The fourth proportional to 360,257.30, 497,180.81 and 199,108.89 is: 274,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,257.30 : 497,180.81 = 199,108.89 : x
  2. Step 2: Convert to fraction form
    360,257.30/497,180.81 = 199,108.89/x
  3. Step 3: Cross multiply
    360,257.30x = 497,180.81 × 199,108.89
  4. Step 4: Simplify right side
    360,257.30x = 98,993,118,212.86
  5. Step 5: Solve for x
    x = 98,993,118,212.86/360,257.30
  6. Step 6: Final answer
    x = 274,784.49

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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.