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Finding the Fourth Proportional to 389,511.74, 582,730.33 and 295,014.20

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Solution

The fourth proportional to 389,511.74, 582,730.33 and 295,014.20 is: 441,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,511.74 : 582,730.33 = 295,014.20 : x
  2. Step 2: Convert to fraction form
    389,511.74/582,730.33 = 295,014.20/x
  3. Step 3: Cross multiply
    389,511.74x = 582,730.33 × 295,014.20
  4. Step 4: Simplify right side
    389,511.74x = 171,913,720,645.62
  5. Step 5: Solve for x
    x = 171,913,720,645.62/389,511.74
  6. Step 6: Final answer
    x = 441,356.97

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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.