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Finding the Fourth Proportional to 302,779, 417,835.02 and 168,651.64

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Solution

The fourth proportional to 302,779, 417,835.02 and 168,651.64 is: 232,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,779 : 417,835.02 = 168,651.64 : x
  2. Step 2: Convert to fraction form
    302,779/417,835.02 = 168,651.64/x
  3. Step 3: Cross multiply
    302,779x = 417,835.02 × 168,651.64
  4. Step 4: Simplify right side
    302,779x = 70,468,561,372.43
  5. Step 5: Solve for x
    x = 70,468,561,372.43/302,779
  6. Step 6: Final answer
    x = 232,739.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.