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Finding the Fourth Proportional to 502,018.33, 692,782.17 and 287,161.98

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Solution

The fourth proportional to 502,018.33, 692,782.17 and 287,161.98 is: 396,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,018.33 : 692,782.17 = 287,161.98 : x
  2. Step 2: Convert to fraction form
    502,018.33/692,782.17 = 287,161.98/x
  3. Step 3: Cross multiply
    502,018.33x = 692,782.17 × 287,161.98
  4. Step 4: Simplify right side
    502,018.33x = 198,940,696,181.99
  5. Step 5: Solve for x
    x = 198,940,696,181.99/502,018.33
  6. Step 6: Final answer
    x = 396,281.74

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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.