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Finding the Fourth Proportional to 664,513.20, 997,061.40 and 309,344.40

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Solution

The fourth proportional to 664,513.20, 997,061.40 and 309,344.40 is: 464,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,513.20 : 997,061.40 = 309,344.40 : x
  2. Step 2: Convert to fraction form
    664,513.20/997,061.40 = 309,344.40/x
  3. Step 3: Cross multiply
    664,513.20x = 997,061.40 × 309,344.40
  4. Step 4: Simplify right side
    664,513.20x = 308,435,360,546.16
  5. Step 5: Solve for x
    x = 308,435,360,546.16/664,513.20
  6. Step 6: Final answer
    x = 464,152.35

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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.