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Finding the Fourth Proportional to 390,568.01, 538,958.39 and 218,456.15

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Solution

The fourth proportional to 390,568.01, 538,958.39 and 218,456.15 is: 301,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,568.01 : 538,958.39 = 218,456.15 : x
  2. Step 2: Convert to fraction form
    390,568.01/538,958.39 = 218,456.15/x
  3. Step 3: Cross multiply
    390,568.01x = 538,958.39 × 218,456.15
  4. Step 4: Simplify right side
    390,568.01x = 117,738,771,102.53
  5. Step 5: Solve for x
    x = 117,738,771,102.53/390,568.01
  6. Step 6: Final answer
    x = 301,455.24

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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.