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Finding the Fourth Proportional to 413,388.81, 620,089.43 and 143,525.49

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Solution

The fourth proportional to 413,388.81, 620,089.43 and 143,525.49 is: 215,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,388.81 : 620,089.43 = 143,525.49 : x
  2. Step 2: Convert to fraction form
    413,388.81/620,089.43 = 143,525.49/x
  3. Step 3: Cross multiply
    413,388.81x = 620,089.43 × 143,525.49
  4. Step 4: Simplify right side
    413,388.81x = 88,998,638,566.94
  5. Step 5: Solve for x
    x = 88,998,638,566.94/413,388.81
  6. Step 6: Final answer
    x = 215,290.39

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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.