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Finding the Fourth Proportional to 388,675.50, 536,506.43 and 227,582.34

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Solution

The fourth proportional to 388,675.50, 536,506.43 and 227,582.34 is: 314,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,675.50 : 536,506.43 = 227,582.34 : x
  2. Step 2: Convert to fraction form
    388,675.50/536,506.43 = 227,582.34/x
  3. Step 3: Cross multiply
    388,675.50x = 536,506.43 × 227,582.34
  4. Step 4: Simplify right side
    388,675.50x = 122,099,387,626.54
  5. Step 5: Solve for x
    x = 122,099,387,626.54/388,675.50
  6. Step 6: Final answer
    x = 314,142.23

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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.