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Finding the Fourth Proportional to 522,958.40, 783,400.80 and 285,876.80

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Solution

The fourth proportional to 522,958.40, 783,400.80 and 285,876.80 is: 428,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,958.40 : 783,400.80 = 285,876.80 : x
  2. Step 2: Convert to fraction form
    522,958.40/783,400.80 = 285,876.80/x
  3. Step 3: Cross multiply
    522,958.40x = 783,400.80 × 285,876.80
  4. Step 4: Simplify right side
    522,958.40x = 223,956,113,821.44
  5. Step 5: Solve for x
    x = 223,956,113,821.44/522,958.40
  6. Step 6: Final answer
    x = 428,248.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.