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Finding the Fourth Proportional to 512,683.65, 769,134.36 and 175,633.76

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Solution

The fourth proportional to 512,683.65, 769,134.36 and 175,633.76 is: 263,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,683.65 : 769,134.36 = 175,633.76 : x
  2. Step 2: Convert to fraction form
    512,683.65/769,134.36 = 175,633.76/x
  3. Step 3: Cross multiply
    512,683.65x = 769,134.36 × 175,633.76
  4. Step 4: Simplify right side
    512,683.65x = 135,085,955,746.32
  5. Step 5: Solve for x
    x = 135,085,955,746.32/512,683.65
  6. Step 6: Final answer
    x = 263,487.93

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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.