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Finding the Fourth Proportional to 287,655.22, 396,966.05 and 160,338.88

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Solution

The fourth proportional to 287,655.22, 396,966.05 and 160,338.88 is: 221,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,655.22 : 396,966.05 = 160,338.88 : x
  2. Step 2: Convert to fraction form
    287,655.22/396,966.05 = 160,338.88/x
  3. Step 3: Cross multiply
    287,655.22x = 396,966.05 × 160,338.88
  4. Step 4: Simplify right side
    287,655.22x = 63,649,091,855.02
  5. Step 5: Solve for x
    x = 63,649,091,855.02/287,655.22
  6. Step 6: Final answer
    x = 221,268.68

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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.