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Finding the Fourth Proportional to 646,732.53, 970,216.25 and 220,246.47

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Solution

The fourth proportional to 646,732.53, 970,216.25 and 220,246.47 is: 330,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,732.53 : 970,216.25 = 220,246.47 : x
  2. Step 2: Convert to fraction form
    646,732.53/970,216.25 = 220,246.47/x
  3. Step 3: Cross multiply
    646,732.53x = 970,216.25 × 220,246.47
  4. Step 4: Simplify right side
    646,732.53x = 213,686,703,097.91
  5. Step 5: Solve for x
    x = 213,686,703,097.91/646,732.53
  6. Step 6: Final answer
    x = 330,409.70

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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.