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Finding the Fourth Proportional to 368,901.89, 509,071.17 and 205,549.95

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Solution

The fourth proportional to 368,901.89, 509,071.17 and 205,549.95 is: 283,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,901.89 : 509,071.17 = 205,549.95 : x
  2. Step 2: Convert to fraction form
    368,901.89/509,071.17 = 205,549.95/x
  3. Step 3: Cross multiply
    368,901.89x = 509,071.17 × 205,549.95
  4. Step 4: Simplify right side
    368,901.89x = 104,639,552,512.19
  5. Step 5: Solve for x
    x = 104,639,552,512.19/368,901.89
  6. Step 6: Final answer
    x = 283,651.44

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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.