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Finding the Fourth Proportional to 529,475.85, 730,682.32 and 287,758.43

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Solution

The fourth proportional to 529,475.85, 730,682.32 and 287,758.43 is: 397,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,475.85 : 730,682.32 = 287,758.43 : x
  2. Step 2: Convert to fraction form
    529,475.85/730,682.32 = 287,758.43/x
  3. Step 3: Cross multiply
    529,475.85x = 730,682.32 × 287,758.43
  4. Step 4: Simplify right side
    529,475.85x = 210,259,995,793.17
  5. Step 5: Solve for x
    x = 210,259,995,793.17/529,475.85
  6. Step 6: Final answer
    x = 397,109.70

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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.