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Finding the Fourth Proportional to 520,716.66, 781,081.47 and 165,729.30

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Solution

The fourth proportional to 520,716.66, 781,081.47 and 165,729.30 is: 248,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,716.66 : 781,081.47 = 165,729.30 : x
  2. Step 2: Convert to fraction form
    520,716.66/781,081.47 = 165,729.30/x
  3. Step 3: Cross multiply
    520,716.66x = 781,081.47 × 165,729.30
  4. Step 4: Simplify right side
    520,716.66x = 129,448,085,266.07
  5. Step 5: Solve for x
    x = 129,448,085,266.07/520,716.66
  6. Step 6: Final answer
    x = 248,596.01

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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.