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Finding the Fourth Proportional to 283,428.72, 391,123.74 and 154,364.36

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Solution

The fourth proportional to 283,428.72, 391,123.74 and 154,364.36 is: 213,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,428.72 : 391,123.74 = 154,364.36 : x
  2. Step 2: Convert to fraction form
    283,428.72/391,123.74 = 154,364.36/x
  3. Step 3: Cross multiply
    283,428.72x = 391,123.74 × 154,364.36
  4. Step 4: Simplify right side
    283,428.72x = 60,375,565,805.91
  5. Step 5: Solve for x
    x = 60,375,565,805.91/283,428.72
  6. Step 6: Final answer
    x = 213,018.52

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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.