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Finding the Fourth Proportional to 231,683.90, 319,471.29 and 201,199.95

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Solution

The fourth proportional to 231,683.90, 319,471.29 and 201,199.95 is: 277,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,683.90 : 319,471.29 = 201,199.95 : x
  2. Step 2: Convert to fraction form
    231,683.90/319,471.29 = 201,199.95/x
  3. Step 3: Cross multiply
    231,683.90x = 319,471.29 × 201,199.95
  4. Step 4: Simplify right side
    231,683.90x = 64,277,607,574.44
  5. Step 5: Solve for x
    x = 64,277,607,574.44/231,683.90
  6. Step 6: Final answer
    x = 277,436.67

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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.