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Finding the Fourth Proportional to 689,729.24, 951,826.14 and 387,923

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Solution

The fourth proportional to 689,729.24, 951,826.14 and 387,923 is: 535,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,729.24 : 951,826.14 = 387,923 : x
  2. Step 2: Convert to fraction form
    689,729.24/951,826.14 = 387,923/x
  3. Step 3: Cross multiply
    689,729.24x = 951,826.14 × 387,923
  4. Step 4: Simplify right side
    689,729.24x = 369,235,251,707.22
  5. Step 5: Solve for x
    x = 369,235,251,707.22/689,729.24
  6. Step 6: Final answer
    x = 535,333.62

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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.