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Finding the Fourth Proportional to 556,212, 834,343.92 and 162,228

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Solution

The fourth proportional to 556,212, 834,343.92 and 162,228 is: 243,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,212 : 834,343.92 = 162,228 : x
  2. Step 2: Convert to fraction form
    556,212/834,343.92 = 162,228/x
  3. Step 3: Cross multiply
    556,212x = 834,343.92 × 162,228
  4. Step 4: Simplify right side
    556,212x = 135,353,945,453.76
  5. Step 5: Solve for x
    x = 135,353,945,453.76/556,212
  6. Step 6: Final answer
    x = 243,349.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.