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Finding the Fourth Proportional to 256,859.40, 385,289.10 and 172,878.60

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Solution

The fourth proportional to 256,859.40, 385,289.10 and 172,878.60 is: 259,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,859.40 : 385,289.10 = 172,878.60 : x
  2. Step 2: Convert to fraction form
    256,859.40/385,289.10 = 172,878.60/x
  3. Step 3: Cross multiply
    256,859.40x = 385,289.10 × 172,878.60
  4. Step 4: Simplify right side
    256,859.40x = 66,608,240,203.26
  5. Step 5: Solve for x
    x = 66,608,240,203.26/256,859.40
  6. Step 6: Final answer
    x = 259,317.90

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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.