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Finding the Fourth Proportional to 378,510.48, 568,159.56 and 278,783.28

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Solution

The fourth proportional to 378,510.48, 568,159.56 and 278,783.28 is: 418,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,510.48 : 568,159.56 = 278,783.28 : x
  2. Step 2: Convert to fraction form
    378,510.48/568,159.56 = 278,783.28/x
  3. Step 3: Cross multiply
    378,510.48x = 568,159.56 × 278,783.28
  4. Step 4: Simplify right side
    378,510.48x = 158,393,385,700.16
  5. Step 5: Solve for x
    x = 158,393,385,700.16/378,510.48
  6. Step 6: Final answer
    x = 418,464.99

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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.