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Finding the Fourth Proportional to 309,517.47, 426,952.68 and 194,614

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Solution

The fourth proportional to 309,517.47, 426,952.68 and 194,614 is: 268,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,517.47 : 426,952.68 = 194,614 : x
  2. Step 2: Convert to fraction form
    309,517.47/426,952.68 = 194,614/x
  3. Step 3: Cross multiply
    309,517.47x = 426,952.68 × 194,614
  4. Step 4: Simplify right side
    309,517.47x = 83,090,968,865.52
  5. Step 5: Solve for x
    x = 83,090,968,865.52/309,517.47
  6. Step 6: Final answer
    x = 268,453.24

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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.