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Finding the Fourth Proportional to 282,567.69, 422,022.56 and 255,860.30

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Solution

The fourth proportional to 282,567.69, 422,022.56 and 255,860.30 is: 382,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,567.69 : 422,022.56 = 255,860.30 : x
  2. Step 2: Convert to fraction form
    282,567.69/422,022.56 = 255,860.30/x
  3. Step 3: Cross multiply
    282,567.69x = 422,022.56 × 255,860.30
  4. Step 4: Simplify right side
    282,567.69x = 107,978,818,584.12
  5. Step 5: Solve for x
    x = 107,978,818,584.12/282,567.69
  6. Step 6: Final answer
    x = 382,134.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.