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Finding the Fourth Proportional to 529,519.84, 730,742.25 and 287,802.97

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Solution

The fourth proportional to 529,519.84, 730,742.25 and 287,802.97 is: 397,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,519.84 : 730,742.25 = 287,802.97 : x
  2. Step 2: Convert to fraction form
    529,519.84/730,742.25 = 287,802.97/x
  3. Step 3: Cross multiply
    529,519.84x = 730,742.25 × 287,802.97
  4. Step 4: Simplify right side
    529,519.84x = 210,309,789,854.48
  5. Step 5: Solve for x
    x = 210,309,789,854.48/529,519.84
  6. Step 6: Final answer
    x = 397,170.75

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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.