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Finding the Fourth Proportional to 387,842.68, 535,215.78 and 215,759.80

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Solution

The fourth proportional to 387,842.68, 535,215.78 and 215,759.80 is: 297,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,842.68 : 535,215.78 = 215,759.80 : x
  2. Step 2: Convert to fraction form
    387,842.68/535,215.78 = 215,759.80/x
  3. Step 3: Cross multiply
    387,842.68x = 535,215.78 × 215,759.80
  4. Step 4: Simplify right side
    387,842.68x = 115,478,049,649.64
  5. Step 5: Solve for x
    x = 115,478,049,649.64/387,842.68
  6. Step 6: Final answer
    x = 297,744.56

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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.