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Finding the Fourth Proportional to 208,843.49, 288,200.76 and 113,349.35

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Solution

The fourth proportional to 208,843.49, 288,200.76 and 113,349.35 is: 156,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.49 : 288,200.76 = 113,349.35 : x
  2. Step 2: Convert to fraction form
    208,843.49/288,200.76 = 113,349.35/x
  3. Step 3: Cross multiply
    208,843.49x = 288,200.76 × 113,349.35
  4. Step 4: Simplify right side
    208,843.49x = 32,667,368,815.51
  5. Step 5: Solve for x
    x = 32,667,368,815.51/208,843.49
  6. Step 6: Final answer
    x = 156,420.34

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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.