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Finding the Fourth Proportional to 390,409.96, 538,766.02 and 211,561.96

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Solution

The fourth proportional to 390,409.96, 538,766.02 and 211,561.96 is: 291,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,409.96 : 538,766.02 = 211,561.96 : x
  2. Step 2: Convert to fraction form
    390,409.96/538,766.02 = 211,561.96/x
  3. Step 3: Cross multiply
    390,409.96x = 538,766.02 × 211,561.96
  4. Step 4: Simplify right side
    390,409.96x = 113,982,395,172.60
  5. Step 5: Solve for x
    x = 113,982,395,172.60/390,409.96
  6. Step 6: Final answer
    x = 291,955.65

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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.