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Finding the Fourth Proportional to 289,853.80, 399,535.98 and 228,499.96

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Solution

The fourth proportional to 289,853.80, 399,535.98 and 228,499.96 is: 314,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,853.80 : 399,535.98 = 228,499.96 : x
  2. Step 2: Convert to fraction form
    289,853.80/399,535.98 = 228,499.96/x
  3. Step 3: Cross multiply
    289,853.80x = 399,535.98 × 228,499.96
  4. Step 4: Simplify right side
    289,853.80x = 91,293,955,448.56
  5. Step 5: Solve for x
    x = 91,293,955,448.56/289,853.80
  6. Step 6: Final answer
    x = 314,965.53

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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.