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Finding the Fourth Proportional to 650,442.08, 897,649.44 and 363,956

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Solution

The fourth proportional to 650,442.08, 897,649.44 and 363,956 is: 502,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,442.08 : 897,649.44 = 363,956 : x
  2. Step 2: Convert to fraction form
    650,442.08/897,649.44 = 363,956/x
  3. Step 3: Cross multiply
    650,442.08x = 897,649.44 × 363,956
  4. Step 4: Simplify right side
    650,442.08x = 326,704,899,584.64
  5. Step 5: Solve for x
    x = 326,704,899,584.64/650,442.08
  6. Step 6: Final answer
    x = 502,281.31

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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.