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Finding the Fourth Proportional to 279,700, 385,972.50 and 158,825.32

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Solution

The fourth proportional to 279,700, 385,972.50 and 158,825.32 is: 219,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,700 : 385,972.50 = 158,825.32 : x
  2. Step 2: Convert to fraction form
    279,700/385,972.50 = 158,825.32/x
  3. Step 3: Cross multiply
    279,700x = 385,972.50 × 158,825.32
  4. Step 4: Simplify right side
    279,700x = 61,302,205,823.70
  5. Step 5: Solve for x
    x = 61,302,205,823.70/279,700
  6. Step 6: Final answer
    x = 219,171.28

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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.