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Finding the Fourth Proportional to 409,538.70, 614,198.70 and 143,271.45

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Solution

The fourth proportional to 409,538.70, 614,198.70 and 143,271.45 is: 214,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,538.70 : 614,198.70 = 143,271.45 : x
  2. Step 2: Convert to fraction form
    409,538.70/614,198.70 = 143,271.45/x
  3. Step 3: Cross multiply
    409,538.70x = 614,198.70 × 143,271.45
  4. Step 4: Simplify right side
    409,538.70x = 87,997,138,337.12
  5. Step 5: Solve for x
    x = 87,997,138,337.12/409,538.70
  6. Step 6: Final answer
    x = 214,868.92

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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.