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Finding the Fourth Proportional to 645,903.20, 968,739.60 and 408,821.60

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Solution

The fourth proportional to 645,903.20, 968,739.60 and 408,821.60 is: 613,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,903.20 : 968,739.60 = 408,821.60 : x
  2. Step 2: Convert to fraction form
    645,903.20/968,739.60 = 408,821.60/x
  3. Step 3: Cross multiply
    645,903.20x = 968,739.60 × 408,821.60
  4. Step 4: Simplify right side
    645,903.20x = 396,041,673,255.36
  5. Step 5: Solve for x
    x = 396,041,673,255.36/645,903.20
  6. Step 6: Final answer
    x = 613,159.48

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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.