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Finding the Fourth Proportional to 287,216.37, 396,358.41 and 159,922.02

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Solution

The fourth proportional to 287,216.37, 396,358.41 and 159,922.02 is: 220,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,216.37 : 396,358.41 = 159,922.02 : x
  2. Step 2: Convert to fraction form
    287,216.37/396,358.41 = 159,922.02/x
  3. Step 3: Cross multiply
    287,216.37x = 396,358.41 × 159,922.02
  4. Step 4: Simplify right side
    287,216.37x = 63,386,437,571.19
  5. Step 5: Solve for x
    x = 63,386,437,571.19/287,216.37
  6. Step 6: Final answer
    x = 220,692.29

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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.