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Finding the Fourth Proportional to 390,382.96, 538,724 and 211,534.96

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Solution

The fourth proportional to 390,382.96, 538,724 and 211,534.96 is: 291,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,382.96 : 538,724 = 211,534.96 : x
  2. Step 2: Convert to fraction form
    390,382.96/538,724 = 211,534.96/x
  3. Step 3: Cross multiply
    390,382.96x = 538,724 × 211,534.96
  4. Step 4: Simplify right side
    390,382.96x = 113,958,959,791.04
  5. Step 5: Solve for x
    x = 113,958,959,791.04/390,382.96
  6. Step 6: Final answer
    x = 291,915.81

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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.