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Finding the Fourth Proportional to 409,053.52, 613,613.10 and 142,808.14

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Solution

The fourth proportional to 409,053.52, 613,613.10 and 142,808.14 is: 214,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,053.52 : 613,613.10 = 142,808.14 : x
  2. Step 2: Convert to fraction form
    409,053.52/613,613.10 = 142,808.14/x
  3. Step 3: Cross multiply
    409,053.52x = 613,613.10 × 142,808.14
  4. Step 4: Simplify right side
    409,053.52x = 87,628,945,490.63
  5. Step 5: Solve for x
    x = 87,628,945,490.63/409,053.52
  6. Step 6: Final answer
    x = 214,223.67

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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.