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Finding the Fourth Proportional to 389,516.74, 582,737.82 and 295,019.20

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Solution

The fourth proportional to 389,516.74, 582,737.82 and 295,019.20 is: 441,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,516.74 : 582,737.82 = 295,019.20 : x
  2. Step 2: Convert to fraction form
    389,516.74/582,737.82 = 295,019.20/x
  3. Step 3: Cross multiply
    389,516.74x = 582,737.82 × 295,019.20
  4. Step 4: Simplify right side
    389,516.74x = 171,918,845,466.14
  5. Step 5: Solve for x
    x = 171,918,845,466.14/389,516.74
  6. Step 6: Final answer
    x = 441,364.46

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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.