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Finding the Fourth Proportional to 646,959.80, 970,731.30 and 309,870.20

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Solution

The fourth proportional to 646,959.80, 970,731.30 and 309,870.20 is: 464,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,959.80 : 970,731.30 = 309,870.20 : x
  2. Step 2: Convert to fraction form
    646,959.80/970,731.30 = 309,870.20/x
  3. Step 3: Cross multiply
    646,959.80x = 970,731.30 × 309,870.20
  4. Step 4: Simplify right side
    646,959.80x = 300,800,702,077.26
  5. Step 5: Solve for x
    x = 300,800,702,077.26/646,959.80
  6. Step 6: Final answer
    x = 464,944.97

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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.