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Finding the Fourth Proportional to 283,355.40, 391,017.80 and 162,409.96

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Solution

The fourth proportional to 283,355.40, 391,017.80 and 162,409.96 is: 224,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,355.40 : 391,017.80 = 162,409.96 : x
  2. Step 2: Convert to fraction form
    283,355.40/391,017.80 = 162,409.96/x
  3. Step 3: Cross multiply
    283,355.40x = 391,017.80 × 162,409.96
  4. Step 4: Simplify right side
    283,355.40x = 63,505,185,257.29
  5. Step 5: Solve for x
    x = 63,505,185,257.29/283,355.40
  6. Step 6: Final answer
    x = 224,118.49

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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.