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Finding the Fourth Proportional to 561,729.66, 842,600.64 and 162,373.89

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Solution

The fourth proportional to 561,729.66, 842,600.64 and 162,373.89 is: 243,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,729.66 : 842,600.64 = 162,373.89 : x
  2. Step 2: Convert to fraction form
    561,729.66/842,600.64 = 162,373.89/x
  3. Step 3: Cross multiply
    561,729.66x = 842,600.64 × 162,373.89
  4. Step 4: Simplify right side
    561,729.66x = 136,816,347,401.94
  5. Step 5: Solve for x
    x = 136,816,347,401.94/561,729.66
  6. Step 6: Final answer
    x = 243,562.62

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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.