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Finding the Fourth Proportional to 286,784.91, 395,760.72 and 159,459.39

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Solution

The fourth proportional to 286,784.91, 395,760.72 and 159,459.39 is: 220,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,784.91 : 395,760.72 = 159,459.39 : x
  2. Step 2: Convert to fraction form
    286,784.91/395,760.72 = 159,459.39/x
  3. Step 3: Cross multiply
    286,784.91x = 395,760.72 × 159,459.39
  4. Step 4: Simplify right side
    286,784.91x = 63,107,762,997.16
  5. Step 5: Solve for x
    x = 63,107,762,997.16/286,784.91
  6. Step 6: Final answer
    x = 220,052.59

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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.