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Finding the Fourth Proportional to 408,963.40, 613,372.20 and 258,935.20

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Solution

The fourth proportional to 408,963.40, 613,372.20 and 258,935.20 is: 388,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,963.40 : 613,372.20 = 258,935.20 : x
  2. Step 2: Convert to fraction form
    408,963.40/613,372.20 = 258,935.20/x
  3. Step 3: Cross multiply
    408,963.40x = 613,372.20 × 258,935.20
  4. Step 4: Simplify right side
    408,963.40x = 158,823,653,281.44
  5. Step 5: Solve for x
    x = 158,823,653,281.44/408,963.40
  6. Step 6: Final answer
    x = 388,356.64

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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.