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Finding the Fourth Proportional to 409,518.60, 614,059.20 and 143,287.80

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Solution

The fourth proportional to 409,518.60, 614,059.20 and 143,287.80 is: 214,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,518.60 : 614,059.20 = 143,287.80 : x
  2. Step 2: Convert to fraction form
    409,518.60/614,059.20 = 143,287.80/x
  3. Step 3: Cross multiply
    409,518.60x = 614,059.20 × 143,287.80
  4. Step 4: Simplify right side
    409,518.60x = 87,987,191,837.76
  5. Step 5: Solve for x
    x = 87,987,191,837.76/409,518.60
  6. Step 6: Final answer
    x = 214,855.18

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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.