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Finding the Fourth Proportional to 393,957.10, 590,935.65 and 388,052.20

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Solution

The fourth proportional to 393,957.10, 590,935.65 and 388,052.20 is: 582,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,957.10 : 590,935.65 = 388,052.20 : x
  2. Step 2: Convert to fraction form
    393,957.10/590,935.65 = 388,052.20/x
  3. Step 3: Cross multiply
    393,957.10x = 590,935.65 × 388,052.20
  4. Step 4: Simplify right side
    393,957.10x = 229,313,879,040.93
  5. Step 5: Solve for x
    x = 229,313,879,040.93/393,957.10
  6. Step 6: Final answer
    x = 582,078.30

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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.