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Finding the Fourth Proportional to 256,886.60, 385,329.90 and 212,563.40

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Solution

The fourth proportional to 256,886.60, 385,329.90 and 212,563.40 is: 318,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,886.60 : 385,329.90 = 212,563.40 : x
  2. Step 2: Convert to fraction form
    256,886.60/385,329.90 = 212,563.40/x
  3. Step 3: Cross multiply
    256,886.60x = 385,329.90 × 212,563.40
  4. Step 4: Simplify right side
    256,886.60x = 81,907,033,665.66
  5. Step 5: Solve for x
    x = 81,907,033,665.66/256,886.60
  6. Step 6: Final answer
    x = 318,845.10

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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.