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Finding the Fourth Proportional to 390,092.74, 538,321.62 and 218,013.10

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Solution

The fourth proportional to 390,092.74, 538,321.62 and 218,013.10 is: 300,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,092.74 : 538,321.62 = 218,013.10 : x
  2. Step 2: Convert to fraction form
    390,092.74/538,321.62 = 218,013.10/x
  3. Step 3: Cross multiply
    390,092.74x = 538,321.62 × 218,013.10
  4. Step 4: Simplify right side
    390,092.74x = 117,361,165,173.22
  5. Step 5: Solve for x
    x = 117,361,165,173.22/390,092.74
  6. Step 6: Final answer
    x = 300,854.52

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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.