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Finding the Fourth Proportional to 287,108.51, 396,205.84 and 159,784.12

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Solution

The fourth proportional to 287,108.51, 396,205.84 and 159,784.12 is: 220,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,108.51 : 396,205.84 = 159,784.12 : x
  2. Step 2: Convert to fraction form
    287,108.51/396,205.84 = 159,784.12/x
  3. Step 3: Cross multiply
    287,108.51x = 396,205.84 × 159,784.12
  4. Step 4: Simplify right side
    287,108.51x = 63,307,400,692.48
  5. Step 5: Solve for x
    x = 63,307,400,692.48/287,108.51
  6. Step 6: Final answer
    x = 220,499.91

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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.