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Finding the Fourth Proportional to 522,778.86, 782,905.26 and 297,456.78

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Solution

The fourth proportional to 522,778.86, 782,905.26 and 297,456.78 is: 445,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,778.86 : 782,905.26 = 297,456.78 : x
  2. Step 2: Convert to fraction form
    522,778.86/782,905.26 = 297,456.78/x
  3. Step 3: Cross multiply
    522,778.86x = 782,905.26 × 297,456.78
  4. Step 4: Simplify right side
    522,778.86x = 232,880,477,684.66
  5. Step 5: Solve for x
    x = 232,880,477,684.66/522,778.86
  6. Step 6: Final answer
    x = 445,466.52

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1.5x scale

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.