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Finding the Fourth Proportional to 380,051.92, 523,832.48 and 288,140.78

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Solution

The fourth proportional to 380,051.92, 523,832.48 and 288,140.78 is: 397,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,051.92 : 523,832.48 = 288,140.78 : x
  2. Step 2: Convert to fraction form
    380,051.92/523,832.48 = 288,140.78/x
  3. Step 3: Cross multiply
    380,051.92x = 523,832.48 × 288,140.78
  4. Step 4: Simplify right side
    380,051.92x = 150,937,499,376.53
  5. Step 5: Solve for x
    x = 150,937,499,376.53/380,051.92
  6. Step 6: Final answer
    x = 397,149.68

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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.