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Finding the Fourth Proportional to 278,682.63, 417,916.98 and 118,657.11

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Solution

The fourth proportional to 278,682.63, 417,916.98 and 118,657.11 is: 177,940.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,682.63 : 417,916.98 = 118,657.11 : x
  2. Step 2: Convert to fraction form
    278,682.63/417,916.98 = 118,657.11/x
  3. Step 3: Cross multiply
    278,682.63x = 417,916.98 × 118,657.11
  4. Step 4: Simplify right side
    278,682.63x = 49,588,821,066.73
  5. Step 5: Solve for x
    x = 49,588,821,066.73/278,682.63
  6. Step 6: Final answer
    x = 177,940.12

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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.