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Finding the Fourth Proportional to 288,611.97, 398,250.01 and 159,533

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Solution

The fourth proportional to 288,611.97, 398,250.01 and 159,533 is: 220,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,611.97 : 398,250.01 = 159,533 : x
  2. Step 2: Convert to fraction form
    288,611.97/398,250.01 = 159,533/x
  3. Step 3: Cross multiply
    288,611.97x = 398,250.01 × 159,533
  4. Step 4: Simplify right side
    288,611.97x = 63,534,018,845.33
  5. Step 5: Solve for x
    x = 63,534,018,845.33/288,611.97
  6. Step 6: Final answer
    x = 220,136.47

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1.5x scale

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.