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Finding the Fourth Proportional to 413,568.12, 570,940.80 and 278,313.24

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Solution

The fourth proportional to 413,568.12, 570,940.80 and 278,313.24 is: 384,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,568.12 : 570,940.80 = 278,313.24 : x
  2. Step 2: Convert to fraction form
    413,568.12/570,940.80 = 278,313.24/x
  3. Step 3: Cross multiply
    413,568.12x = 570,940.80 × 278,313.24
  4. Step 4: Simplify right side
    413,568.12x = 158,900,383,896.19
  5. Step 5: Solve for x
    x = 158,900,383,896.19/413,568.12
  6. Step 6: Final answer
    x = 384,218.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.