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Finding the Fourth Proportional to 561,639.80, 842,459.70 and 281,703.80

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Solution

The fourth proportional to 561,639.80, 842,459.70 and 281,703.80 is: 422,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,639.80 : 842,459.70 = 281,703.80 : x
  2. Step 2: Convert to fraction form
    561,639.80/842,459.70 = 281,703.80/x
  3. Step 3: Cross multiply
    561,639.80x = 842,459.70 × 281,703.80
  4. Step 4: Simplify right side
    561,639.80x = 237,324,098,836.86
  5. Step 5: Solve for x
    x = 237,324,098,836.86/561,639.80
  6. Step 6: Final answer
    x = 422,555.70

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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.