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Finding the Fourth Proportional to 529,475.82, 730,682.28 and 287,758.44

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Solution

The fourth proportional to 529,475.82, 730,682.28 and 287,758.44 is: 397,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,475.82 : 730,682.28 = 287,758.44 : x
  2. Step 2: Convert to fraction form
    529,475.82/730,682.28 = 287,758.44/x
  3. Step 3: Cross multiply
    529,475.82x = 730,682.28 × 287,758.44
  4. Step 4: Simplify right side
    529,475.82x = 210,259,993,028.44
  5. Step 5: Solve for x
    x = 210,259,993,028.44/529,475.82
  6. Step 6: Final answer
    x = 397,109.72

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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.