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Finding the Fourth Proportional to 646,952.20, 970,298.70 and 309,992.20

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Solution

The fourth proportional to 646,952.20, 970,298.70 and 309,992.20 is: 464,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,952.20 : 970,298.70 = 309,992.20 : x
  2. Step 2: Convert to fraction form
    646,952.20/970,298.70 = 309,992.20/x
  3. Step 3: Cross multiply
    646,952.20x = 970,298.70 × 309,992.20
  4. Step 4: Simplify right side
    646,952.20x = 300,785,028,670.14
  5. Step 5: Solve for x
    x = 300,785,028,670.14/646,952.20
  6. Step 6: Final answer
    x = 464,926.20

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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.