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Finding the Fourth Proportional to 520,802.64, 718,713.32 and 305,951.76

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Solution

The fourth proportional to 520,802.64, 718,713.32 and 305,951.76 is: 422,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,802.64 : 718,713.32 = 305,951.76 : x
  2. Step 2: Convert to fraction form
    520,802.64/718,713.32 = 305,951.76/x
  3. Step 3: Cross multiply
    520,802.64x = 718,713.32 × 305,951.76
  4. Step 4: Simplify right side
    520,802.64x = 219,891,605,189.44
  5. Step 5: Solve for x
    x = 219,891,605,189.44/520,802.64
  6. Step 6: Final answer
    x = 422,216.76

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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.