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Finding the Fourth Proportional to 256,596.90, 385,114.05 and 114,660.60

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Solution

The fourth proportional to 256,596.90, 385,114.05 and 114,660.60 is: 172,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,596.90 : 385,114.05 = 114,660.60 : x
  2. Step 2: Convert to fraction form
    256,596.90/385,114.05 = 114,660.60/x
  3. Step 3: Cross multiply
    256,596.90x = 385,114.05 × 114,660.60
  4. Step 4: Simplify right side
    256,596.90x = 44,157,408,041.43
  5. Step 5: Solve for x
    x = 44,157,408,041.43/256,596.90
  6. Step 6: Final answer
    x = 172,088.63

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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.