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Finding the Fourth Proportional to 517,080.36, 775,633.50 and 143,106.60

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Solution

The fourth proportional to 517,080.36, 775,633.50 and 143,106.60 is: 214,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,080.36 : 775,633.50 = 143,106.60 : x
  2. Step 2: Convert to fraction form
    517,080.36/775,633.50 = 143,106.60/x
  3. Step 3: Cross multiply
    517,080.36x = 775,633.50 × 143,106.60
  4. Step 4: Simplify right side
    517,080.36x = 110,998,273,031.10
  5. Step 5: Solve for x
    x = 110,998,273,031.10/517,080.36
  6. Step 6: Final answer
    x = 214,663.49

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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.