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Finding the Fourth Proportional to 522,324.79, 783,708.82 and 285,390.68

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Solution

The fourth proportional to 522,324.79, 783,708.82 and 285,390.68 is: 428,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,324.79 : 783,708.82 = 285,390.68 : x
  2. Step 2: Convert to fraction form
    522,324.79/783,708.82 = 285,390.68/x
  3. Step 3: Cross multiply
    522,324.79x = 783,708.82 × 285,390.68
  4. Step 4: Simplify right side
    522,324.79x = 223,663,188,429.78
  5. Step 5: Solve for x
    x = 223,663,188,429.78/522,324.79
  6. Step 6: Final answer
    x = 428,207.11

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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.