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Finding the Fourth Proportional to 279,694.34, 385,980.84 and 158,838.14

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Solution

The fourth proportional to 279,694.34, 385,980.84 and 158,838.14 is: 219,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,694.34 : 385,980.84 = 158,838.14 : x
  2. Step 2: Convert to fraction form
    279,694.34/385,980.84 = 158,838.14/x
  3. Step 3: Cross multiply
    279,694.34x = 385,980.84 × 158,838.14
  4. Step 4: Simplify right side
    279,694.34x = 61,308,478,701.24
  5. Step 5: Solve for x
    x = 61,308,478,701.24/279,694.34
  6. Step 6: Final answer
    x = 219,198.14

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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.