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Finding the Fourth Proportional to 353,782.56, 530,672.64 and 143,420

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Solution

The fourth proportional to 353,782.56, 530,672.64 and 143,420 is: 215,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,782.56 : 530,672.64 = 143,420 : x
  2. Step 2: Convert to fraction form
    353,782.56/530,672.64 = 143,420/x
  3. Step 3: Cross multiply
    353,782.56x = 530,672.64 × 143,420
  4. Step 4: Simplify right side
    353,782.56x = 76,109,070,028.80
  5. Step 5: Solve for x
    x = 76,109,070,028.80/353,782.56
  6. Step 6: Final answer
    x = 215,129.51

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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.