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Finding the Fourth Proportional to 517,651.32, 776,360.34 and 201,945.72

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Solution

The fourth proportional to 517,651.32, 776,360.34 and 201,945.72 is: 302,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,651.32 : 776,360.34 = 201,945.72 : x
  2. Step 2: Convert to fraction form
    517,651.32/776,360.34 = 201,945.72/x
  3. Step 3: Cross multiply
    517,651.32x = 776,360.34 × 201,945.72
  4. Step 4: Simplify right side
    517,651.32x = 156,782,647,840.75
  5. Step 5: Solve for x
    x = 156,782,647,840.75/517,651.32
  6. Step 6: Final answer
    x = 302,873.08

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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.