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Finding the Fourth Proportional to 368,890.38, 509,063.31 and 207,745.74

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Solution

The fourth proportional to 368,890.38, 509,063.31 and 207,745.74 is: 286,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,890.38 : 509,063.31 = 207,745.74 : x
  2. Step 2: Convert to fraction form
    368,890.38/509,063.31 = 207,745.74/x
  3. Step 3: Cross multiply
    368,890.38x = 509,063.31 × 207,745.74
  4. Step 4: Simplify right side
    368,890.38x = 105,755,734,042.80
  5. Step 5: Solve for x
    x = 105,755,734,042.80/368,890.38
  6. Step 6: Final answer
    x = 286,686.07

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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.