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Finding the Fourth Proportional to 356,857.65, 535,282.83 and 120,198.74

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Solution

The fourth proportional to 356,857.65, 535,282.83 and 120,198.74 is: 180,296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,857.65 : 535,282.83 = 120,198.74 : x
  2. Step 2: Convert to fraction form
    356,857.65/535,282.83 = 120,198.74/x
  3. Step 3: Cross multiply
    356,857.65x = 535,282.83 × 120,198.74
  4. Step 4: Simplify right side
    356,857.65x = 64,340,319,033.22
  5. Step 5: Solve for x
    x = 64,340,319,033.22/356,857.65
  6. Step 6: Final answer
    x = 180,296.87

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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.