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Finding the Fourth Proportional to 283,705.48, 391,673.48 and 188,342.56

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Solution

The fourth proportional to 283,705.48, 391,673.48 and 188,342.56 is: 260,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,705.48 : 391,673.48 = 188,342.56 : x
  2. Step 2: Convert to fraction form
    283,705.48/391,673.48 = 188,342.56/x
  3. Step 3: Cross multiply
    283,705.48x = 391,673.48 × 188,342.56
  4. Step 4: Simplify right side
    283,705.48x = 73,768,785,907.31
  5. Step 5: Solve for x
    x = 73,768,785,907.31/283,705.48
  6. Step 6: Final answer
    x = 260,018.90

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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.