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Finding the Fourth Proportional to 253,498.81, 349,828.36 and 140,321.56

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Solution

The fourth proportional to 253,498.81, 349,828.36 and 140,321.56 is: 193,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,498.81 : 349,828.36 = 140,321.56 : x
  2. Step 2: Convert to fraction form
    253,498.81/349,828.36 = 140,321.56/x
  3. Step 3: Cross multiply
    253,498.81x = 349,828.36 × 140,321.56
  4. Step 4: Simplify right side
    253,498.81x = 49,088,459,982.07
  5. Step 5: Solve for x
    x = 49,088,459,982.07/253,498.81
  6. Step 6: Final answer
    x = 193,643.75

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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.