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Finding the Fourth Proportional to 409,485.29, 614,315.42 and 143,254.49

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Solution

The fourth proportional to 409,485.29, 614,315.42 and 143,254.49 is: 214,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,485.29 : 614,315.42 = 143,254.49 : x
  2. Step 2: Convert to fraction form
    409,485.29/614,315.42 = 143,254.49/x
  3. Step 3: Cross multiply
    409,485.29x = 614,315.42 × 143,254.49
  4. Step 4: Simplify right side
    409,485.29x = 88,003,443,010.75
  5. Step 5: Solve for x
    x = 88,003,443,010.75/409,485.29
  6. Step 6: Final answer
    x = 214,912.34

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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.