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Finding the Fourth Proportional to 664,861.40, 997,292.10 and 310,567.40

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Solution

The fourth proportional to 664,861.40, 997,292.10 and 310,567.40 is: 465,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,861.40 : 997,292.10 = 310,567.40 : x
  2. Step 2: Convert to fraction form
    664,861.40/997,292.10 = 310,567.40/x
  3. Step 3: Cross multiply
    664,861.40x = 997,292.10 × 310,567.40
  4. Step 4: Simplify right side
    664,861.40x = 309,726,414,537.54
  5. Step 5: Solve for x
    x = 309,726,414,537.54/664,861.40
  6. Step 6: Final answer
    x = 465,851.10

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Similar ratio
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1.5x scale

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.