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Finding the Fourth Proportional to 581,256, 871,650.72 and 281,491.20

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Solution

The fourth proportional to 581,256, 871,650.72 and 281,491.20 is: 422,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,256 : 871,650.72 = 281,491.20 : x
  2. Step 2: Convert to fraction form
    581,256/871,650.72 = 281,491.20/x
  3. Step 3: Cross multiply
    581,256x = 871,650.72 × 281,491.20
  4. Step 4: Simplify right side
    581,256x = 245,362,007,153.66
  5. Step 5: Solve for x
    x = 245,362,007,153.66/581,256
  6. Step 6: Final answer
    x = 422,123.83

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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.