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Finding the Fourth Proportional to 368,539.80, 508,578.78 and 207,394.80

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Solution

The fourth proportional to 368,539.80, 508,578.78 and 207,394.80 is: 286,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,539.80 : 508,578.78 = 207,394.80 : x
  2. Step 2: Convert to fraction form
    368,539.80/508,578.78 = 207,394.80/x
  3. Step 3: Cross multiply
    368,539.80x = 508,578.78 × 207,394.80
  4. Step 4: Simplify right side
    368,539.80x = 105,476,594,362.34
  5. Step 5: Solve for x
    x = 105,476,594,362.34/368,539.80
  6. Step 6: Final answer
    x = 286,201.37

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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.