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Finding the Fourth Proportional to 369,105.30, 509,365.14 and 199,339.44

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Solution

The fourth proportional to 369,105.30, 509,365.14 and 199,339.44 is: 275,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,105.30 : 509,365.14 = 199,339.44 : x
  2. Step 2: Convert to fraction form
    369,105.30/509,365.14 = 199,339.44/x
  3. Step 3: Cross multiply
    369,105.30x = 509,365.14 × 199,339.44
  4. Step 4: Simplify right side
    369,105.30x = 101,536,561,763.12
  5. Step 5: Solve for x
    x = 101,536,561,763.12/369,105.30
  6. Step 6: Final answer
    x = 275,088.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.