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Finding the Fourth Proportional to 529,487.76, 730,697.96 and 287,771

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Solution

The fourth proportional to 529,487.76, 730,697.96 and 287,771 is: 397,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,487.76 : 730,697.96 = 287,771 : x
  2. Step 2: Convert to fraction form
    529,487.76/730,697.96 = 287,771/x
  3. Step 3: Cross multiply
    529,487.76x = 730,697.96 × 287,771
  4. Step 4: Simplify right side
    529,487.76x = 210,273,682,647.16
  5. Step 5: Solve for x
    x = 210,273,682,647.16/529,487.76
  6. Step 6: Final answer
    x = 397,126.62

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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.