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Finding the Fourth Proportional to 512,249.02, 706,904.69 and 282,806.74

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Solution

The fourth proportional to 512,249.02, 706,904.69 and 282,806.74 is: 390,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,249.02 : 706,904.69 = 282,806.74 : x
  2. Step 2: Convert to fraction form
    512,249.02/706,904.69 = 282,806.74/x
  3. Step 3: Cross multiply
    512,249.02x = 706,904.69 × 282,806.74
  4. Step 4: Simplify right side
    512,249.02x = 199,917,410,869.61
  5. Step 5: Solve for x
    x = 199,917,410,869.61/512,249.02
  6. Step 6: Final answer
    x = 390,273.88

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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.