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Finding the Fourth Proportional to 521,828, 720,122.64 and 283,364

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Solution

The fourth proportional to 521,828, 720,122.64 and 283,364 is: 391,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,828 : 720,122.64 = 283,364 : x
  2. Step 2: Convert to fraction form
    521,828/720,122.64 = 283,364/x
  3. Step 3: Cross multiply
    521,828x = 720,122.64 × 283,364
  4. Step 4: Simplify right side
    521,828x = 204,056,831,760.96
  5. Step 5: Solve for x
    x = 204,056,831,760.96/521,828
  6. Step 6: Final answer
    x = 391,042.32

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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.