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Finding the Fourth Proportional to 208,296.21, 287,451.57 and 116,411.46

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Solution

The fourth proportional to 208,296.21, 287,451.57 and 116,411.46 is: 160,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,296.21 : 287,451.57 = 116,411.46 : x
  2. Step 2: Convert to fraction form
    208,296.21/287,451.57 = 116,411.46/x
  3. Step 3: Cross multiply
    208,296.21x = 287,451.57 × 116,411.46
  4. Step 4: Simplify right side
    208,296.21x = 33,462,656,942.99
  5. Step 5: Solve for x
    x = 33,462,656,942.99/208,296.21
  6. Step 6: Final answer
    x = 160,649.38

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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.