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Finding the Fourth Proportional to 502,099.78, 692,902.62 and 275,745.28

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Solution

The fourth proportional to 502,099.78, 692,902.62 and 275,745.28 is: 380,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,099.78 : 692,902.62 = 275,745.28 : x
  2. Step 2: Convert to fraction form
    502,099.78/692,902.62 = 275,745.28/x
  3. Step 3: Cross multiply
    502,099.78x = 692,902.62 × 275,745.28
  4. Step 4: Simplify right side
    502,099.78x = 191,064,626,964.63
  5. Step 5: Solve for x
    x = 191,064,626,964.63/502,099.78
  6. Step 6: Final answer
    x = 380,531.19

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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.