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Finding the Fourth Proportional to 409,051.52, 613,610.10 and 142,806.14

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Solution

The fourth proportional to 409,051.52, 613,610.10 and 142,806.14 is: 214,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,051.52 : 613,610.10 = 142,806.14 : x
  2. Step 2: Convert to fraction form
    409,051.52/613,610.10 = 142,806.14/x
  3. Step 3: Cross multiply
    409,051.52x = 613,610.10 × 142,806.14
  4. Step 4: Simplify right side
    409,051.52x = 87,627,289,846.01
  5. Step 5: Solve for x
    x = 87,627,289,846.01/409,051.52
  6. Step 6: Final answer
    x = 214,220.67

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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.