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Finding the Fourth Proportional to 512,023.04, 706,625.76 and 285,673.36

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Solution

The fourth proportional to 512,023.04, 706,625.76 and 285,673.36 is: 394,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,023.04 : 706,625.76 = 285,673.36 : x
  2. Step 2: Convert to fraction form
    512,023.04/706,625.76 = 285,673.36/x
  3. Step 3: Cross multiply
    512,023.04x = 706,625.76 × 285,673.36
  4. Step 4: Simplify right side
    512,023.04x = 201,864,155,121.75
  5. Step 5: Solve for x
    x = 201,864,155,121.75/512,023.04
  6. Step 6: Final answer
    x = 394,248.19

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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.