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Finding the Fourth Proportional to 208,340.28, 287,459.82 and 123,442.68

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Solution

The fourth proportional to 208,340.28, 287,459.82 and 123,442.68 is: 170,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,340.28 : 287,459.82 = 123,442.68 : x
  2. Step 2: Convert to fraction form
    208,340.28/287,459.82 = 123,442.68/x
  3. Step 3: Cross multiply
    208,340.28x = 287,459.82 × 123,442.68
  4. Step 4: Simplify right side
    208,340.28x = 35,484,810,573.12
  5. Step 5: Solve for x
    x = 35,484,810,573.12/208,340.28
  6. Step 6: Final answer
    x = 170,321.41

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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.