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Finding the Fourth Proportional to 228,257.48, 314,889.08 and 147,711

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Solution

The fourth proportional to 228,257.48, 314,889.08 and 147,711 is: 203,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,257.48 : 314,889.08 = 147,711 : x
  2. Step 2: Convert to fraction form
    228,257.48/314,889.08 = 147,711/x
  3. Step 3: Cross multiply
    228,257.48x = 314,889.08 × 147,711
  4. Step 4: Simplify right side
    228,257.48x = 46,512,580,895.88
  5. Step 5: Solve for x
    x = 46,512,580,895.88/228,257.48
  6. Step 6: Final answer
    x = 203,772.43

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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.