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Finding the Fourth Proportional to 385,480.01, 531,954.14 and 213,388.02

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Solution

The fourth proportional to 385,480.01, 531,954.14 and 213,388.02 is: 294,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,480.01 : 531,954.14 = 213,388.02 : x
  2. Step 2: Convert to fraction form
    385,480.01/531,954.14 = 213,388.02/x
  3. Step 3: Cross multiply
    385,480.01x = 531,954.14 × 213,388.02
  4. Step 4: Simplify right side
    385,480.01x = 113,512,639,598.46
  5. Step 5: Solve for x
    x = 113,512,639,598.46/385,480.01
  6. Step 6: Final answer
    x = 294,470.88

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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.