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Finding the Fourth Proportional to 393,497.80, 589,024.86 and 213,135.24

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Solution

The fourth proportional to 393,497.80, 589,024.86 and 213,135.24 is: 319,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,497.80 : 589,024.86 = 213,135.24 : x
  2. Step 2: Convert to fraction form
    393,497.80/589,024.86 = 213,135.24/x
  3. Step 3: Cross multiply
    393,497.80x = 589,024.86 × 213,135.24
  4. Step 4: Simplify right side
    393,497.80x = 125,541,954,902.07
  5. Step 5: Solve for x
    x = 125,541,954,902.07/393,497.80
  6. Step 6: Final answer
    x = 319,041.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.