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Finding the Fourth Proportional to 287,839.58, 397,220.15 and 158,782.58

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Solution

The fourth proportional to 287,839.58, 397,220.15 and 158,782.58 is: 219,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,839.58 : 397,220.15 = 158,782.58 : x
  2. Step 2: Convert to fraction form
    287,839.58/397,220.15 = 158,782.58/x
  3. Step 3: Cross multiply
    287,839.58x = 397,220.15 × 158,782.58
  4. Step 4: Simplify right side
    287,839.58x = 63,071,640,145.42
  5. Step 5: Solve for x
    x = 63,071,640,145.42/287,839.58
  6. Step 6: Final answer
    x = 219,120.81

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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.