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Finding the Fourth Proportional to 288,043.60, 431,700.90 and 110,313.40

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Solution

The fourth proportional to 288,043.60, 431,700.90 and 110,313.40 is: 165,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,043.60 : 431,700.90 = 110,313.40 : x
  2. Step 2: Convert to fraction form
    288,043.60/431,700.90 = 110,313.40/x
  3. Step 3: Cross multiply
    288,043.60x = 431,700.90 × 110,313.40
  4. Step 4: Simplify right side
    288,043.60x = 47,622,394,062.06
  5. Step 5: Solve for x
    x = 47,622,394,062.06/288,043.60
  6. Step 6: Final answer
    x = 165,330.51

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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.