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Finding the Fourth Proportional to 368,939.82, 509,152.70 and 205,596.50

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Solution

The fourth proportional to 368,939.82, 509,152.70 and 205,596.50 is: 283,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,939.82 : 509,152.70 = 205,596.50 : x
  2. Step 2: Convert to fraction form
    368,939.82/509,152.70 = 205,596.50/x
  3. Step 3: Cross multiply
    368,939.82x = 509,152.70 × 205,596.50
  4. Step 4: Simplify right side
    368,939.82x = 104,680,013,330.45
  5. Step 5: Solve for x
    x = 104,680,013,330.45/368,939.82
  6. Step 6: Final answer
    x = 283,731.95

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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.