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Finding the Fourth Proportional to 305,431.60, 458,584.80 and 231,073.60

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Solution

The fourth proportional to 305,431.60, 458,584.80 and 231,073.60 is: 346,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,431.60 : 458,584.80 = 231,073.60 : x
  2. Step 2: Convert to fraction form
    305,431.60/458,584.80 = 231,073.60/x
  3. Step 3: Cross multiply
    305,431.60x = 458,584.80 × 231,073.60
  4. Step 4: Simplify right side
    305,431.60x = 105,966,840,641.28
  5. Step 5: Solve for x
    x = 105,966,840,641.28/305,431.60
  6. Step 6: Final answer
    x = 346,941.31

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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.