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Finding the Fourth Proportional to 502,734.48, 693,059.64 and 399,858

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Solution

The fourth proportional to 502,734.48, 693,059.64 and 399,858 is: 551,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,734.48 : 693,059.64 = 399,858 : x
  2. Step 2: Convert to fraction form
    502,734.48/693,059.64 = 399,858/x
  3. Step 3: Cross multiply
    502,734.48x = 693,059.64 × 399,858
  4. Step 4: Simplify right side
    502,734.48x = 277,125,441,531.12
  5. Step 5: Solve for x
    x = 277,125,441,531.12/502,734.48
  6. Step 6: Final answer
    x = 551,236.19

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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.