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Finding the Fourth Proportional to 393,042.98, 589,689.06 and 140,317.94

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Solution

The fourth proportional to 393,042.98, 589,689.06 and 140,317.94 is: 210,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,042.98 : 589,689.06 = 140,317.94 : x
  2. Step 2: Convert to fraction form
    393,042.98/589,689.06 = 140,317.94/x
  3. Step 3: Cross multiply
    393,042.98x = 589,689.06 × 140,317.94
  4. Step 4: Simplify right side
    393,042.98x = 82,743,954,139.74
  5. Step 5: Solve for x
    x = 82,743,954,139.74/393,042.98
  6. Step 6: Final answer
    x = 210,521.39

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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.