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Finding the Fourth Proportional to 664,809.20, 997,537.80 and 309,640.40

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Solution

The fourth proportional to 664,809.20, 997,537.80 and 309,640.40 is: 464,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,809.20 : 997,537.80 = 309,640.40 : x
  2. Step 2: Convert to fraction form
    664,809.20/997,537.80 = 309,640.40/x
  3. Step 3: Cross multiply
    664,809.20x = 997,537.80 × 309,640.40
  4. Step 4: Simplify right side
    664,809.20x = 308,878,003,407.12
  5. Step 5: Solve for x
    x = 308,878,003,407.12/664,809.20
  6. Step 6: Final answer
    x = 464,611.51

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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.