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Finding the Fourth Proportional to 208,414.41, 287,506.22 and 131,804.40

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Solution

The fourth proportional to 208,414.41, 287,506.22 and 131,804.40 is: 181,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414.41 : 287,506.22 = 131,804.40 : x
  2. Step 2: Convert to fraction form
    208,414.41/287,506.22 = 131,804.40/x
  3. Step 3: Cross multiply
    208,414.41x = 287,506.22 × 131,804.40
  4. Step 4: Simplify right side
    208,414.41x = 37,894,584,823.37
  5. Step 5: Solve for x
    x = 37,894,584,823.37/208,414.41
  6. Step 6: Final answer
    x = 181,823.25

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1.5x scale

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.