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Finding the Fourth Proportional to 512,646.90, 769,043.88 and 157,690.86

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Solution

The fourth proportional to 512,646.90, 769,043.88 and 157,690.86 is: 236,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,646.90 : 769,043.88 = 157,690.86 : x
  2. Step 2: Convert to fraction form
    512,646.90/769,043.88 = 157,690.86/x
  3. Step 3: Cross multiply
    512,646.90x = 769,043.88 × 157,690.86
  4. Step 4: Simplify right side
    512,646.90x = 121,271,190,814.94
  5. Step 5: Solve for x
    x = 121,271,190,814.94/512,646.90
  6. Step 6: Final answer
    x = 236,558.91

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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.