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Finding the Fourth Proportional to 360,416.74, 497,365.20 and 199,278.58

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Solution

The fourth proportional to 360,416.74, 497,365.20 and 199,278.58 is: 274,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,416.74 : 497,365.20 = 199,278.58 : x
  2. Step 2: Convert to fraction form
    360,416.74/497,365.20 = 199,278.58/x
  3. Step 3: Cross multiply
    360,416.74x = 497,365.20 × 199,278.58
  4. Step 4: Simplify right side
    360,416.74x = 99,114,230,797.42
  5. Step 5: Solve for x
    x = 99,114,230,797.42/360,416.74
  6. Step 6: Final answer
    x = 274,998.97

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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.