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Finding the Fourth Proportional to 378,385.36, 567,947.40 and 312,496.72

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Solution

The fourth proportional to 378,385.36, 567,947.40 and 312,496.72 is: 469,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,385.36 : 567,947.40 = 312,496.72 : x
  2. Step 2: Convert to fraction form
    378,385.36/567,947.40 = 312,496.72/x
  3. Step 3: Cross multiply
    378,385.36x = 567,947.40 × 312,496.72
  4. Step 4: Simplify right side
    378,385.36x = 177,481,699,632.53
  5. Step 5: Solve for x
    x = 177,481,699,632.53/378,385.36
  6. Step 6: Final answer
    x = 469,050.12

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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.