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Finding the Fourth Proportional to 646,298.16, 969,890.16 and 225,574

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Solution

The fourth proportional to 646,298.16, 969,890.16 and 225,574 is: 338,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,298.16 : 969,890.16 = 225,574 : x
  2. Step 2: Convert to fraction form
    646,298.16/969,890.16 = 225,574/x
  3. Step 3: Cross multiply
    646,298.16x = 969,890.16 × 225,574
  4. Step 4: Simplify right side
    646,298.16x = 218,782,002,951.84
  5. Step 5: Solve for x
    x = 218,782,002,951.84/646,298.16
  6. Step 6: Final answer
    x = 338,515.59

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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.