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Finding the Fourth Proportional to 664,515.20, 997,064.40 and 309,346.40

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Solution

The fourth proportional to 664,515.20, 997,064.40 and 309,346.40 is: 464,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,515.20 : 997,064.40 = 309,346.40 : x
  2. Step 2: Convert to fraction form
    664,515.20/997,064.40 = 309,346.40/x
  3. Step 3: Cross multiply
    664,515.20x = 997,064.40 × 309,346.40
  4. Step 4: Simplify right side
    664,515.20x = 308,438,282,708.16
  5. Step 5: Solve for x
    x = 308,438,282,708.16/664,515.20
  6. Step 6: Final answer
    x = 464,155.35

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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.