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Finding the Fourth Proportional to 485,956.64, 728,298.84 and 261,054.20

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Solution

The fourth proportional to 485,956.64, 728,298.84 and 261,054.20 is: 391,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,956.64 : 728,298.84 = 261,054.20 : x
  2. Step 2: Convert to fraction form
    485,956.64/728,298.84 = 261,054.20/x
  3. Step 3: Cross multiply
    485,956.64x = 728,298.84 × 261,054.20
  4. Step 4: Simplify right side
    485,956.64x = 190,125,471,037.13
  5. Step 5: Solve for x
    x = 190,125,471,037.13/485,956.64
  6. Step 6: Final answer
    x = 391,239.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.