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Finding the Fourth Proportional to 256,878.40, 385,318.16 and 138,605.44

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Solution

The fourth proportional to 256,878.40, 385,318.16 and 138,605.44 is: 207,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,878.40 : 385,318.16 = 138,605.44 : x
  2. Step 2: Convert to fraction form
    256,878.40/385,318.16 = 138,605.44/x
  3. Step 3: Cross multiply
    256,878.40x = 385,318.16 × 138,605.44
  4. Step 4: Simplify right side
    256,878.40x = 53,407,193,106.79
  5. Step 5: Solve for x
    x = 53,407,193,106.79/256,878.40
  6. Step 6: Final answer
    x = 207,908.46

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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.