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Finding the Fourth Proportional to 257,809.40, 385,620.60 and 231,346.70

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Solution

The fourth proportional to 257,809.40, 385,620.60 and 231,346.70 is: 346,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,809.40 : 385,620.60 = 231,346.70 : x
  2. Step 2: Convert to fraction form
    257,809.40/385,620.60 = 231,346.70/x
  3. Step 3: Cross multiply
    257,809.40x = 385,620.60 × 231,346.70
  4. Step 4: Simplify right side
    257,809.40x = 89,212,053,262.02
  5. Step 5: Solve for x
    x = 89,212,053,262.02/257,809.40
  6. Step 6: Final answer
    x = 346,038.79

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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.