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Finding the Fourth Proportional to 256,851, 385,112.46 and 123,465.86

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Solution

The fourth proportional to 256,851, 385,112.46 and 123,465.86 is: 185,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,851 : 385,112.46 = 123,465.86 : x
  2. Step 2: Convert to fraction form
    256,851/385,112.46 = 123,465.86/x
  3. Step 3: Cross multiply
    256,851x = 385,112.46 × 123,465.86
  4. Step 4: Simplify right side
    256,851x = 47,548,241,070.62
  5. Step 5: Solve for x
    x = 47,548,241,070.62/256,851
  6. Step 6: Final answer
    x = 185,119.94

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1.5x scale

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.