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Finding the Fourth Proportional to 431,295.74, 646,950.30 and 127,720.59

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Solution

The fourth proportional to 431,295.74, 646,950.30 and 127,720.59 is: 191,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,295.74 : 646,950.30 = 127,720.59 : x
  2. Step 2: Convert to fraction form
    431,295.74/646,950.30 = 127,720.59/x
  3. Step 3: Cross multiply
    431,295.74x = 646,950.30 × 127,720.59
  4. Step 4: Simplify right side
    431,295.74x = 82,628,874,016.68
  5. Step 5: Solve for x
    x = 82,628,874,016.68/431,295.74
  6. Step 6: Final answer
    x = 191,582.87

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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.