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Finding the Fourth Proportional to 315,103,618.60, 471,805,122.30 and 315,103,618.60

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Solution

The fourth proportional to 315,103,618.60, 471,805,122.30 and 315,103,618.60 is: 471,805,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103,618.60 : 471,805,122.30 = 315,103,618.60 : x
  2. Step 2: Convert to fraction form
    315,103,618.60/471,805,122.30 = 315,103,618.60/x
  3. Step 3: Cross multiply
    315,103,618.60x = 471,805,122.30 × 315,103,618.60
  4. Step 4: Simplify right side
    315,103,618.60x = 148,667,501,310,745,568
  5. Step 5: Solve for x
    x = 148,667,501,310,745,568/315,103,618.60
  6. Step 6: Final answer
    x = 471,805,122.30

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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.