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Finding the Fourth Proportional to 646,296.76, 969,007.74 and 225,343

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Solution

The fourth proportional to 646,296.76, 969,007.74 and 225,343 is: 337,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,296.76 : 969,007.74 = 225,343 : x
  2. Step 2: Convert to fraction form
    646,296.76/969,007.74 = 225,343/x
  3. Step 3: Cross multiply
    646,296.76x = 969,007.74 × 225,343
  4. Step 4: Simplify right side
    646,296.76x = 218,359,111,154.82
  5. Step 5: Solve for x
    x = 218,359,111,154.82/646,296.76
  6. Step 6: Final answer
    x = 337,861.99

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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.