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Finding the Fourth Proportional to 646,641.21, 969,213.43 and 305,301.09

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Solution

The fourth proportional to 646,641.21, 969,213.43 and 305,301.09 is: 457,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,641.21 : 969,213.43 = 305,301.09 : x
  2. Step 2: Convert to fraction form
    646,641.21/969,213.43 = 305,301.09/x
  3. Step 3: Cross multiply
    646,641.21x = 969,213.43 × 305,301.09
  4. Step 4: Simplify right side
    646,641.21x = 295,901,916,621.64
  5. Step 5: Solve for x
    x = 295,901,916,621.64/646,641.21
  6. Step 6: Final answer
    x = 457,598.30

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Double scale
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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.