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Finding the Fourth Proportional to 512,681.61, 769,131.45 and 175,631.79

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Solution

The fourth proportional to 512,681.61, 769,131.45 and 175,631.79 is: 263,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,681.61 : 769,131.45 = 175,631.79 : x
  2. Step 2: Convert to fraction form
    512,681.61/769,131.45 = 175,631.79/x
  3. Step 3: Cross multiply
    512,681.61x = 769,131.45 × 175,631.79
  4. Step 4: Simplify right side
    512,681.61x = 135,083,933,308.80
  5. Step 5: Solve for x
    x = 135,083,933,308.80/512,681.61
  6. Step 6: Final answer
    x = 263,485.04

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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.