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Finding the Fourth Proportional to 208,309.60, 287,288.40 and 162,917.20

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Solution

The fourth proportional to 208,309.60, 287,288.40 and 162,917.20 is: 224,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,309.60 : 287,288.40 = 162,917.20 : x
  2. Step 2: Convert to fraction form
    208,309.60/287,288.40 = 162,917.20/x
  3. Step 3: Cross multiply
    208,309.60x = 287,288.40 × 162,917.20
  4. Step 4: Simplify right side
    208,309.60x = 46,804,221,720.48
  5. Step 5: Solve for x
    x = 46,804,221,720.48/208,309.60
  6. Step 6: Final answer
    x = 224,685.86

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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.