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Finding the Fourth Proportional to 257,664.40, 386,496.60 and 228,115.60

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Solution

The fourth proportional to 257,664.40, 386,496.60 and 228,115.60 is: 342,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,664.40 : 386,496.60 = 228,115.60 : x
  2. Step 2: Convert to fraction form
    257,664.40/386,496.60 = 228,115.60/x
  3. Step 3: Cross multiply
    257,664.40x = 386,496.60 × 228,115.60
  4. Step 4: Simplify right side
    257,664.40x = 88,165,903,806.96
  5. Step 5: Solve for x
    x = 88,165,903,806.96/257,664.40
  6. Step 6: Final answer
    x = 342,173.40

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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.