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Finding the Fourth Proportional to 561,902.80, 842,749.56 and 162,444.76

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Solution

The fourth proportional to 561,902.80, 842,749.56 and 162,444.76 is: 243,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,902.80 : 842,749.56 = 162,444.76 : x
  2. Step 2: Convert to fraction form
    561,902.80/842,749.56 = 162,444.76/x
  3. Step 3: Cross multiply
    561,902.80x = 842,749.56 × 162,444.76
  4. Step 4: Simplify right side
    561,902.80x = 136,900,250,014.31
  5. Step 5: Solve for x
    x = 136,900,250,014.31/561,902.80
  6. Step 6: Final answer
    x = 243,636.89

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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.