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Finding the Fourth Proportional to 413,679.35, 619,944.93 and 188,489.45

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Solution

The fourth proportional to 413,679.35, 619,944.93 and 188,489.45 is: 282,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,679.35 : 619,944.93 = 188,489.45 : x
  2. Step 2: Convert to fraction form
    413,679.35/619,944.93 = 188,489.45/x
  3. Step 3: Cross multiply
    413,679.35x = 619,944.93 × 188,489.45
  4. Step 4: Simplify right side
    413,679.35x = 116,853,075,786.26
  5. Step 5: Solve for x
    x = 116,853,075,786.26/413,679.35
  6. Step 6: Final answer
    x = 282,472.59

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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.