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Finding the Fourth Proportional to 369,198, 509,493.24 and 199,432.13

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Solution

The fourth proportional to 369,198, 509,493.24 and 199,432.13 is: 275,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,198 : 509,493.24 = 199,432.13 : x
  2. Step 2: Convert to fraction form
    369,198/509,493.24 = 199,432.13/x
  3. Step 3: Cross multiply
    369,198x = 509,493.24 × 199,432.13
  4. Step 4: Simplify right side
    369,198x = 101,609,319,526.34
  5. Step 5: Solve for x
    x = 101,609,319,526.34/369,198
  6. Step 6: Final answer
    x = 275,216.33

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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.