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Finding the Fourth Proportional to 219,287.74, 302,600.19 and 123,803.86

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Solution

The fourth proportional to 219,287.74, 302,600.19 and 123,803.86 is: 170,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,287.74 : 302,600.19 = 123,803.86 : x
  2. Step 2: Convert to fraction form
    219,287.74/302,600.19 = 123,803.86/x
  3. Step 3: Cross multiply
    219,287.74x = 302,600.19 × 123,803.86
  4. Step 4: Simplify right side
    219,287.74x = 37,463,071,558.73
  5. Step 5: Solve for x
    x = 37,463,071,558.73/219,287.74
  6. Step 6: Final answer
    x = 170,839.79

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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.