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Finding the Fourth Proportional to 378,595.80, 567,411.30 and 201,187.80

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Solution

The fourth proportional to 378,595.80, 567,411.30 and 201,187.80 is: 301,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,595.80 : 567,411.30 = 201,187.80 : x
  2. Step 2: Convert to fraction form
    378,595.80/567,411.30 = 201,187.80/x
  3. Step 3: Cross multiply
    378,595.80x = 567,411.30 × 201,187.80
  4. Step 4: Simplify right side
    378,595.80x = 114,156,231,142.14
  5. Step 5: Solve for x
    x = 114,156,231,142.14/378,595.80
  6. Step 6: Final answer
    x = 301,525.35

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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.