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Finding the Fourth Proportional to 267,886.86, 401,830.27 and 208,766.76

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Solution

The fourth proportional to 267,886.86, 401,830.27 and 208,766.76 is: 313,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,886.86 : 401,830.27 = 208,766.76 : x
  2. Step 2: Convert to fraction form
    267,886.86/401,830.27 = 208,766.76/x
  3. Step 3: Cross multiply
    267,886.86x = 401,830.27 × 208,766.76
  4. Step 4: Simplify right side
    267,886.86x = 83,888,803,537.83
  5. Step 5: Solve for x
    x = 83,888,803,537.83/267,886.86
  6. Step 6: Final answer
    x = 313,150.12

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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.