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Finding the Fourth Proportional to 268,146.76, 401,675.82 and 208,738.12

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Solution

The fourth proportional to 268,146.76, 401,675.82 and 208,738.12 is: 312,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,146.76 : 401,675.82 = 208,738.12 : x
  2. Step 2: Convert to fraction form
    268,146.76/401,675.82 = 208,738.12/x
  3. Step 3: Cross multiply
    268,146.76x = 401,675.82 × 208,738.12
  4. Step 4: Simplify right side
    268,146.76x = 83,845,055,516.26
  5. Step 5: Solve for x
    x = 83,845,055,516.26/268,146.76
  6. Step 6: Final answer
    x = 312,683.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.