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Finding the Fourth Proportional to 529,344, 730,494.72 and 290,880

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Solution

The fourth proportional to 529,344, 730,494.72 and 290,880 is: 401,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,344 : 730,494.72 = 290,880 : x
  2. Step 2: Convert to fraction form
    529,344/730,494.72 = 290,880/x
  3. Step 3: Cross multiply
    529,344x = 730,494.72 × 290,880
  4. Step 4: Simplify right side
    529,344x = 212,486,304,153.60
  5. Step 5: Solve for x
    x = 212,486,304,153.60/529,344
  6. Step 6: Final answer
    x = 401,414.40

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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.