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Finding the Fourth Proportional to 279,533.67, 419,257.53 and 153,236.49

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Solution

The fourth proportional to 279,533.67, 419,257.53 and 153,236.49 is: 229,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,533.67 : 419,257.53 = 153,236.49 : x
  2. Step 2: Convert to fraction form
    279,533.67/419,257.53 = 153,236.49/x
  3. Step 3: Cross multiply
    279,533.67x = 419,257.53 × 153,236.49
  4. Step 4: Simplify right side
    279,533.67x = 64,245,552,303.27
  5. Step 5: Solve for x
    x = 64,245,552,303.27/279,533.67
  6. Step 6: Final answer
    x = 229,831.18

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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.