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Finding the Fourth Proportional to 369,515.34, 509,930.91 and 199,749.51

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Solution

The fourth proportional to 369,515.34, 509,930.91 and 199,749.51 is: 275,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,515.34 : 509,930.91 = 199,749.51 : x
  2. Step 2: Convert to fraction form
    369,515.34/509,930.91 = 199,749.51/x
  3. Step 3: Cross multiply
    369,515.34x = 509,930.91 × 199,749.51
  4. Step 4: Simplify right side
    369,515.34x = 101,858,449,406.35
  5. Step 5: Solve for x
    x = 101,858,449,406.35/369,515.34
  6. Step 6: Final answer
    x = 275,654.18

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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.