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Finding the Fourth Proportional to 320,260.64, 480,275.76 and 109,844

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Solution

The fourth proportional to 320,260.64, 480,275.76 and 109,844 is: 164,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,260.64 : 480,275.76 = 109,844 : x
  2. Step 2: Convert to fraction form
    320,260.64/480,275.76 = 109,844/x
  3. Step 3: Cross multiply
    320,260.64x = 480,275.76 × 109,844
  4. Step 4: Simplify right side
    320,260.64x = 52,755,410,581.44
  5. Step 5: Solve for x
    x = 52,755,410,581.44/320,260.64
  6. Step 6: Final answer
    x = 164,726.49

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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.