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Finding the Fourth Proportional to 279,700.50, 385,973.19 and 158,825.82

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Solution

The fourth proportional to 279,700.50, 385,973.19 and 158,825.82 is: 219,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,700.50 : 385,973.19 = 158,825.82 : x
  2. Step 2: Convert to fraction form
    279,700.50/385,973.19 = 158,825.82/x
  3. Step 3: Cross multiply
    279,700.50x = 385,973.19 × 158,825.82
  4. Step 4: Simplify right side
    279,700.50x = 61,302,508,399.77
  5. Step 5: Solve for x
    x = 61,302,508,399.77/279,700.50
  6. Step 6: Final answer
    x = 219,171.97

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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.