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Finding the Fourth Proportional to 404,296.75, 606,474.29 and 154,978.75

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Solution

The fourth proportional to 404,296.75, 606,474.29 and 154,978.75 is: 232,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,296.75 : 606,474.29 = 154,978.75 : x
  2. Step 2: Convert to fraction form
    404,296.75/606,474.29 = 154,978.75/x
  3. Step 3: Cross multiply
    404,296.75x = 606,474.29 × 154,978.75
  4. Step 4: Simplify right side
    404,296.75x = 93,990,627,371.34
  5. Step 5: Solve for x
    x = 93,990,627,371.34/404,296.75
  6. Step 6: Final answer
    x = 232,479.30

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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.