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Finding the Fourth Proportional to 508,864.30, 762,759.14 and 388,659.47

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Solution

The fourth proportional to 508,864.30, 762,759.14 and 388,659.47 is: 582,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,864.30 : 762,759.14 = 388,659.47 : x
  2. Step 2: Convert to fraction form
    508,864.30/762,759.14 = 388,659.47/x
  3. Step 3: Cross multiply
    508,864.30x = 762,759.14 × 388,659.47
  4. Step 4: Simplify right side
    508,864.30x = 296,453,563,053.66
  5. Step 5: Solve for x
    x = 296,453,563,053.66/508,864.30
  6. Step 6: Final answer
    x = 582,578.82

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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.