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Finding the Fourth Proportional to 386,042.88, 578,922 and 133,259.04

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Solution

The fourth proportional to 386,042.88, 578,922 and 133,259.04 is: 199,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,042.88 : 578,922 = 133,259.04 : x
  2. Step 2: Convert to fraction form
    386,042.88/578,922 = 133,259.04/x
  3. Step 3: Cross multiply
    386,042.88x = 578,922 × 133,259.04
  4. Step 4: Simplify right side
    386,042.88x = 77,146,589,954.88
  5. Step 5: Solve for x
    x = 77,146,589,954.88/386,042.88
  6. Step 6: Final answer
    x = 199,839.43

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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.