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Finding the Fourth Proportional to 300,814.95, 415,110.38 and 180,022.69

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Solution

The fourth proportional to 300,814.95, 415,110.38 and 180,022.69 is: 248,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,814.95 : 415,110.38 = 180,022.69 : x
  2. Step 2: Convert to fraction form
    300,814.95/415,110.38 = 180,022.69/x
  3. Step 3: Cross multiply
    300,814.95x = 415,110.38 × 180,022.69
  4. Step 4: Simplify right side
    300,814.95x = 74,729,287,254.52
  5. Step 5: Solve for x
    x = 74,729,287,254.52/300,814.95
  6. Step 6: Final answer
    x = 248,422.78

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1.5x scale

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.