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Finding the Fourth Proportional to 409,753, 614,733.18 and 114,265

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Solution

The fourth proportional to 409,753, 614,733.18 and 114,265 is: 171,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,753 : 614,733.18 = 114,265 : x
  2. Step 2: Convert to fraction form
    409,753/614,733.18 = 114,265/x
  3. Step 3: Cross multiply
    409,753x = 614,733.18 × 114,265
  4. Step 4: Simplify right side
    409,753x = 70,242,486,812.70
  5. Step 5: Solve for x
    x = 70,242,486,812.70/409,753
  6. Step 6: Final answer
    x = 171,426.41

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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.