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Finding the Fourth Proportional to 561,827.21, 842,765.40 and 162,508.34

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Solution

The fourth proportional to 561,827.21, 842,765.40 and 162,508.34 is: 243,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,827.21 : 842,765.40 = 162,508.34 : x
  2. Step 2: Convert to fraction form
    561,827.21/842,765.40 = 162,508.34/x
  3. Step 3: Cross multiply
    561,827.21x = 842,765.40 × 162,508.34
  4. Step 4: Simplify right side
    561,827.21x = 136,956,408,270.35
  5. Step 5: Solve for x
    x = 136,956,408,270.35/561,827.21
  6. Step 6: Final answer
    x = 243,769.63

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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.