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Finding the Fourth Proportional to 250,511.32, 345,742.54 and 158,638.98

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Solution

The fourth proportional to 250,511.32, 345,742.54 and 158,638.98 is: 218,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,511.32 : 345,742.54 = 158,638.98 : x
  2. Step 2: Convert to fraction form
    250,511.32/345,742.54 = 158,638.98/x
  3. Step 3: Cross multiply
    250,511.32x = 345,742.54 × 158,638.98
  4. Step 4: Simplify right side
    250,511.32x = 54,848,243,888.21
  5. Step 5: Solve for x
    x = 54,848,243,888.21/250,511.32
  6. Step 6: Final answer
    x = 218,945.17

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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.