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Finding the Fourth Proportional to 664,513.70, 997,062.15 and 309,344.90

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Solution

The fourth proportional to 664,513.70, 997,062.15 and 309,344.90 is: 464,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,513.70 : 997,062.15 = 309,344.90 : x
  2. Step 2: Convert to fraction form
    664,513.70/997,062.15 = 309,344.90/x
  3. Step 3: Cross multiply
    664,513.70x = 997,062.15 × 309,344.90
  4. Step 4: Simplify right side
    664,513.70x = 308,436,091,085.54
  5. Step 5: Solve for x
    x = 308,436,091,085.54/664,513.70
  6. Step 6: Final answer
    x = 464,153.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.