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Finding the Fourth Proportional to 256,827.80, 385,241.70 and 209,588.60

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Solution

The fourth proportional to 256,827.80, 385,241.70 and 209,588.60 is: 314,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,827.80 : 385,241.70 = 209,588.60 : x
  2. Step 2: Convert to fraction form
    256,827.80/385,241.70 = 209,588.60/x
  3. Step 3: Cross multiply
    256,827.80x = 385,241.70 × 209,588.60
  4. Step 4: Simplify right side
    256,827.80x = 80,742,268,564.62
  5. Step 5: Solve for x
    x = 80,742,268,564.62/256,827.80
  6. Step 6: Final answer
    x = 314,382.90

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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.