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Finding the Fourth Proportional to 512,226.84, 706,788.54 and 285,871.80

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Solution

The fourth proportional to 512,226.84, 706,788.54 and 285,871.80 is: 394,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,226.84 : 706,788.54 = 285,871.80 : x
  2. Step 2: Convert to fraction form
    512,226.84/706,788.54 = 285,871.80/x
  3. Step 3: Cross multiply
    512,226.84x = 706,788.54 × 285,871.80
  4. Step 4: Simplify right side
    512,226.84x = 202,050,912,149.17
  5. Step 5: Solve for x
    x = 202,050,912,149.17/512,226.84
  6. Step 6: Final answer
    x = 394,455.93

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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.