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Finding the Fourth Proportional to 283,073.74, 390,816.30 and 194,821

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Solution

The fourth proportional to 283,073.74, 390,816.30 and 194,821 is: 268,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,073.74 : 390,816.30 = 194,821 : x
  2. Step 2: Convert to fraction form
    283,073.74/390,816.30 = 194,821/x
  3. Step 3: Cross multiply
    283,073.74x = 390,816.30 × 194,821
  4. Step 4: Simplify right side
    283,073.74x = 76,139,222,382.30
  5. Step 5: Solve for x
    x = 76,139,222,382.30/283,073.74
  6. Step 6: Final answer
    x = 268,973.10

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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.