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Finding the Fourth Proportional to 288,039.82, 397,494.70 and 160,715.41

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Solution

The fourth proportional to 288,039.82, 397,494.70 and 160,715.41 is: 221,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,039.82 : 397,494.70 = 160,715.41 : x
  2. Step 2: Convert to fraction form
    288,039.82/397,494.70 = 160,715.41/x
  3. Step 3: Cross multiply
    288,039.82x = 397,494.70 × 160,715.41
  4. Step 4: Simplify right side
    288,039.82x = 63,883,523,683.33
  5. Step 5: Solve for x
    x = 63,883,523,683.33/288,039.82
  6. Step 6: Final answer
    x = 221,787.13

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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.