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Finding the Fourth Proportional to 388,890, 536,668.56 and 210,042

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Solution

The fourth proportional to 388,890, 536,668.56 and 210,042 is: 289,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,890 : 536,668.56 = 210,042 : x
  2. Step 2: Convert to fraction form
    388,890/536,668.56 = 210,042/x
  3. Step 3: Cross multiply
    388,890x = 536,668.56 × 210,042
  4. Step 4: Simplify right side
    388,890x = 112,722,937,679.52
  5. Step 5: Solve for x
    x = 112,722,937,679.52/388,890
  6. Step 6: Final answer
    x = 289,858.15

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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.