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Finding the Fourth Proportional to 282,992.26, 390,748.52 and 217,477.31

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Solution

The fourth proportional to 282,992.26, 390,748.52 and 217,477.31 is: 300,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,992.26 : 390,748.52 = 217,477.31 : x
  2. Step 2: Convert to fraction form
    282,992.26/390,748.52 = 217,477.31/x
  3. Step 3: Cross multiply
    282,992.26x = 390,748.52 × 217,477.31
  4. Step 4: Simplify right side
    282,992.26x = 84,978,936,255.80
  5. Step 5: Solve for x
    x = 84,978,936,255.80/282,992.26
  6. Step 6: Final answer
    x = 300,287.14

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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.