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Finding the Fourth Proportional to 369,274.89, 509,599.71 and 199,509.15

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Solution

The fourth proportional to 369,274.89, 509,599.71 and 199,509.15 is: 275,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,274.89 : 509,599.71 = 199,509.15 : x
  2. Step 2: Convert to fraction form
    369,274.89/509,599.71 = 199,509.15/x
  3. Step 3: Cross multiply
    369,274.89x = 509,599.71 × 199,509.15
  4. Step 4: Simplify right side
    369,274.89x = 101,669,804,982.35
  5. Step 5: Solve for x
    x = 101,669,804,982.35/369,274.89
  6. Step 6: Final answer
    x = 275,322.82

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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.