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Finding the Fourth Proportional to 517,073.51, 775,610.49 and 162,115.20

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Solution

The fourth proportional to 517,073.51, 775,610.49 and 162,115.20 is: 243,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,073.51 : 775,610.49 = 162,115.20 : x
  2. Step 2: Convert to fraction form
    517,073.51/775,610.49 = 162,115.20/x
  3. Step 3: Cross multiply
    517,073.51x = 775,610.49 × 162,115.20
  4. Step 4: Simplify right side
    517,073.51x = 125,738,249,708.45
  5. Step 5: Solve for x
    x = 125,738,249,708.45/517,073.51
  6. Step 6: Final answer
    x = 243,172.87

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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.