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Finding the Fourth Proportional to 228,052.56, 314,824.72 and 143,216.40

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Solution

The fourth proportional to 228,052.56, 314,824.72 and 143,216.40 is: 197,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,052.56 : 314,824.72 = 143,216.40 : x
  2. Step 2: Convert to fraction form
    228,052.56/314,824.72 = 143,216.40/x
  3. Step 3: Cross multiply
    228,052.56x = 314,824.72 × 143,216.40
  4. Step 4: Simplify right side
    228,052.56x = 45,088,063,029.41
  5. Step 5: Solve for x
    x = 45,088,063,029.41/228,052.56
  6. Step 6: Final answer
    x = 197,709.09

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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.