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Finding the Fourth Proportional to 388,963, 536,769.42 and 210,115

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Solution

The fourth proportional to 388,963, 536,769.42 and 210,115 is: 289,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,963 : 536,769.42 = 210,115 : x
  2. Step 2: Convert to fraction form
    388,963/536,769.42 = 210,115/x
  3. Step 3: Cross multiply
    388,963x = 536,769.42 × 210,115
  4. Step 4: Simplify right side
    388,963x = 112,783,306,683.30
  5. Step 5: Solve for x
    x = 112,783,306,683.30/388,963
  6. Step 6: Final answer
    x = 289,958.96

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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.