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Finding the Fourth Proportional to 257,581.80, 386,372.70 and 230,025.60

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Solution

The fourth proportional to 257,581.80, 386,372.70 and 230,025.60 is: 345,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,581.80 : 386,372.70 = 230,025.60 : x
  2. Step 2: Convert to fraction form
    257,581.80/386,372.70 = 230,025.60/x
  3. Step 3: Cross multiply
    257,581.80x = 386,372.70 × 230,025.60
  4. Step 4: Simplify right side
    257,581.80x = 88,875,612,141.12
  5. Step 5: Solve for x
    x = 88,875,612,141.12/257,581.80
  6. Step 6: Final answer
    x = 345,038.40

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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.