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Finding the Fourth Proportional to 561,529.26, 774,908.67 and 306,880.47

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Solution

The fourth proportional to 561,529.26, 774,908.67 and 306,880.47 is: 423,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,529.26 : 774,908.67 = 306,880.47 : x
  2. Step 2: Convert to fraction form
    561,529.26/774,908.67 = 306,880.47/x
  3. Step 3: Cross multiply
    561,529.26x = 774,908.67 × 306,880.47
  4. Step 4: Simplify right side
    561,529.26x = 237,804,336,856.68
  5. Step 5: Solve for x
    x = 237,804,336,856.68/561,529.26
  6. Step 6: Final answer
    x = 423,494.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.