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Finding the Fourth Proportional to 561,487.34, 842,138.78 and 201,583.69

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Solution

The fourth proportional to 561,487.34, 842,138.78 and 201,583.69 is: 302,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,487.34 : 842,138.78 = 201,583.69 : x
  2. Step 2: Convert to fraction form
    561,487.34/842,138.78 = 201,583.69/x
  3. Step 3: Cross multiply
    561,487.34x = 842,138.78 × 201,583.69
  4. Step 4: Simplify right side
    561,487.34x = 169,761,439,651.23
  5. Step 5: Solve for x
    x = 169,761,439,651.23/561,487.34
  6. Step 6: Final answer
    x = 302,342.42

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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.