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Finding the Fourth Proportional to 320,694.29, 440,200.47 and 283,582.52

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Solution

The fourth proportional to 320,694.29, 440,200.47 and 283,582.52 is: 389,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,694.29 : 440,200.47 = 283,582.52 : x
  2. Step 2: Convert to fraction form
    320,694.29/440,200.47 = 283,582.52/x
  3. Step 3: Cross multiply
    320,694.29x = 440,200.47 × 283,582.52
  4. Step 4: Simplify right side
    320,694.29x = 124,833,159,100.97
  5. Step 5: Solve for x
    x = 124,833,159,100.97/320,694.29
  6. Step 6: Final answer
    x = 389,259.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.