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Finding the Fourth Proportional to 288,462, 397,818.96 and 240,223.68

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Solution

The fourth proportional to 288,462, 397,818.96 and 240,223.68 is: 331,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,462 : 397,818.96 = 240,223.68 : x
  2. Step 2: Convert to fraction form
    288,462/397,818.96 = 240,223.68/x
  3. Step 3: Cross multiply
    288,462x = 397,818.96 × 240,223.68
  4. Step 4: Simplify right side
    288,462x = 95,565,534,544.97
  5. Step 5: Solve for x
    x = 95,565,534,544.97/288,462
  6. Step 6: Final answer
    x = 331,293.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.