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Finding the Fourth Proportional to 409,623, 614,538.18 and 114,135

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Solution

The fourth proportional to 409,623, 614,538.18 and 114,135 is: 171,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,623 : 614,538.18 = 114,135 : x
  2. Step 2: Convert to fraction form
    409,623/614,538.18 = 114,135/x
  3. Step 3: Cross multiply
    409,623x = 614,538.18 × 114,135
  4. Step 4: Simplify right side
    409,623x = 70,140,315,174.30
  5. Step 5: Solve for x
    x = 70,140,315,174.30/409,623
  6. Step 6: Final answer
    x = 171,231.39

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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.