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Finding the Fourth Proportional to 512,612.94, 768,940.35 and 175,885.14

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Solution

The fourth proportional to 512,612.94, 768,940.35 and 175,885.14 is: 263,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,612.94 : 768,940.35 = 175,885.14 : x
  2. Step 2: Convert to fraction form
    512,612.94/768,940.35 = 175,885.14/x
  3. Step 3: Cross multiply
    512,612.94x = 768,940.35 × 175,885.14
  4. Step 4: Simplify right side
    512,612.94x = 135,245,181,111.40
  5. Step 5: Solve for x
    x = 135,245,181,111.40/512,612.94
  6. Step 6: Final answer
    x = 263,834.89

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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.