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Finding the Fourth Proportional to 518,361.78, 715,346.40 and 288,912.69

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Solution

The fourth proportional to 518,361.78, 715,346.40 and 288,912.69 is: 398,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,361.78 : 715,346.40 = 288,912.69 : x
  2. Step 2: Convert to fraction form
    518,361.78/715,346.40 = 288,912.69/x
  3. Step 3: Cross multiply
    518,361.78x = 715,346.40 × 288,912.69
  4. Step 4: Simplify right side
    518,361.78x = 206,672,652,705.82
  5. Step 5: Solve for x
    x = 206,672,652,705.82/518,361.78
  6. Step 6: Final answer
    x = 398,703.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.