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Finding the Fourth Proportional to 408,960.90, 613,368.45 and 258,932.70

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Solution

The fourth proportional to 408,960.90, 613,368.45 and 258,932.70 is: 388,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,960.90 : 613,368.45 = 258,932.70 : x
  2. Step 2: Convert to fraction form
    408,960.90/613,368.45 = 258,932.70/x
  3. Step 3: Cross multiply
    408,960.90x = 613,368.45 × 258,932.70
  4. Step 4: Simplify right side
    408,960.90x = 158,821,148,853.32
  5. Step 5: Solve for x
    x = 158,821,148,853.32/408,960.90
  6. Step 6: Final answer
    x = 388,352.89

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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.