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Finding the Fourth Proportional to 561,573.64, 774,989.46 and 306,919.24

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Solution

The fourth proportional to 561,573.64, 774,989.46 and 306,919.24 is: 423,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,573.64 : 774,989.46 = 306,919.24 : x
  2. Step 2: Convert to fraction form
    561,573.64/774,989.46 = 306,919.24/x
  3. Step 3: Cross multiply
    561,573.64x = 774,989.46 × 306,919.24
  4. Step 4: Simplify right side
    561,573.64x = 237,859,176,071.21
  5. Step 5: Solve for x
    x = 237,859,176,071.21/561,573.64
  6. Step 6: Final answer
    x = 423,558.30

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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.