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Finding the Fourth Proportional to 502,442.67, 693,401.90 and 287,577.82

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Solution

The fourth proportional to 502,442.67, 693,401.90 and 287,577.82 is: 396,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,442.67 : 693,401.90 = 287,577.82 : x
  2. Step 2: Convert to fraction form
    502,442.67/693,401.90 = 287,577.82/x
  3. Step 3: Cross multiply
    502,442.67x = 693,401.90 × 287,577.82
  4. Step 4: Simplify right side
    502,442.67x = 199,407,007,095.37
  5. Step 5: Solve for x
    x = 199,407,007,095.37/502,442.67
  6. Step 6: Final answer
    x = 396,875.14

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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.