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Finding the Fourth Proportional to 646,077.40, 969,449.64 and 309,049.80

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Solution

The fourth proportional to 646,077.40, 969,449.64 and 309,049.80 is: 463,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,077.40 : 969,449.64 = 309,049.80 : x
  2. Step 2: Convert to fraction form
    646,077.40/969,449.64 = 309,049.80/x
  3. Step 3: Cross multiply
    646,077.40x = 969,449.64 × 309,049.80
  4. Step 4: Simplify right side
    646,077.40x = 299,608,217,352.07
  5. Step 5: Solve for x
    x = 299,608,217,352.07/646,077.40
  6. Step 6: Final answer
    x = 463,734.25

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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.