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Finding the Fourth Proportional to 520,198.19, 780,297.28 and 146,221.19

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Solution

The fourth proportional to 520,198.19, 780,297.28 and 146,221.19 is: 219,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,198.19 : 780,297.28 = 146,221.19 : x
  2. Step 2: Convert to fraction form
    520,198.19/780,297.28 = 146,221.19/x
  3. Step 3: Cross multiply
    520,198.19x = 780,297.28 × 146,221.19
  4. Step 4: Simplify right side
    520,198.19x = 114,095,996,835.36
  5. Step 5: Solve for x
    x = 114,095,996,835.36/520,198.19
  6. Step 6: Final answer
    x = 219,331.78

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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.