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Finding the Fourth Proportional to 415,284.32, 622,412.53 and 295,149.80

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Solution

The fourth proportional to 415,284.32, 622,412.53 and 295,149.80 is: 442,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,284.32 : 622,412.53 = 295,149.80 : x
  2. Step 2: Convert to fraction form
    415,284.32/622,412.53 = 295,149.80/x
  3. Step 3: Cross multiply
    415,284.32x = 622,412.53 × 295,149.80
  4. Step 4: Simplify right side
    415,284.32x = 183,704,933,746.99
  5. Step 5: Solve for x
    x = 183,704,933,746.99/415,284.32
  6. Step 6: Final answer
    x = 442,359.43

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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.