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Finding the Fourth Proportional to 522,511.20, 783,766.80 and 312,040.80

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Solution

The fourth proportional to 522,511.20, 783,766.80 and 312,040.80 is: 468,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,511.20 : 783,766.80 = 312,040.80 : x
  2. Step 2: Convert to fraction form
    522,511.20/783,766.80 = 312,040.80/x
  3. Step 3: Cross multiply
    522,511.20x = 783,766.80 × 312,040.80
  4. Step 4: Simplify right side
    522,511.20x = 244,567,219,285.44
  5. Step 5: Solve for x
    x = 244,567,219,285.44/522,511.20
  6. Step 6: Final answer
    x = 468,061.20

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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.