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Finding the Fourth Proportional to 287,101.97, 396,192.45 and 159,774.83

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Solution

The fourth proportional to 287,101.97, 396,192.45 and 159,774.83 is: 220,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,101.97 : 396,192.45 = 159,774.83 : x
  2. Step 2: Convert to fraction form
    287,101.97/396,192.45 = 159,774.83/x
  3. Step 3: Cross multiply
    287,101.97x = 396,192.45 × 159,774.83
  4. Step 4: Simplify right side
    287,101.97x = 63,301,578,566.20
  5. Step 5: Solve for x
    x = 63,301,578,566.20/287,101.97
  6. Step 6: Final answer
    x = 220,484.66

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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.