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Finding the Fourth Proportional to 253,578.30, 380,438.54 and 101,881.90

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Solution

The fourth proportional to 253,578.30, 380,438.54 and 101,881.90 is: 152,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,578.30 : 380,438.54 = 101,881.90 : x
  2. Step 2: Convert to fraction form
    253,578.30/380,438.54 = 101,881.90/x
  3. Step 3: Cross multiply
    253,578.30x = 380,438.54 × 101,881.90
  4. Step 4: Simplify right side
    253,578.30x = 38,759,801,288.43
  5. Step 5: Solve for x
    x = 38,759,801,288.43/253,578.30
  6. Step 6: Final answer
    x = 152,851.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.