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Finding the Fourth Proportional to 502,114.38, 692,573.91 and 320,745.76

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Solution

The fourth proportional to 502,114.38, 692,573.91 and 320,745.76 is: 442,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,114.38 : 692,573.91 = 320,745.76 : x
  2. Step 2: Convert to fraction form
    502,114.38/692,573.91 = 320,745.76/x
  3. Step 3: Cross multiply
    502,114.38x = 692,573.91 × 320,745.76
  4. Step 4: Simplify right side
    502,114.38x = 222,140,141,656.25
  5. Step 5: Solve for x
    x = 222,140,141,656.25/502,114.38
  6. Step 6: Final answer
    x = 442,409.44

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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.