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Finding the Fourth Proportional to 285,809.98, 428,341.23 and 117,132.82

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Solution

The fourth proportional to 285,809.98, 428,341.23 and 117,132.82 is: 175,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,809.98 : 428,341.23 = 117,132.82 : x
  2. Step 2: Convert to fraction form
    285,809.98/428,341.23 = 117,132.82/x
  3. Step 3: Cross multiply
    285,809.98x = 428,341.23 × 117,132.82
  4. Step 4: Simplify right side
    285,809.98x = 50,172,816,192.17
  5. Step 5: Solve for x
    x = 50,172,816,192.17/285,809.98
  6. Step 6: Final answer
    x = 175,546.06

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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.