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Finding the Fourth Proportional to 278,230.58, 417,935.98 and 262,033.82

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Solution

The fourth proportional to 278,230.58, 417,935.98 and 262,033.82 is: 393,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,230.58 : 417,935.98 = 262,033.82 : x
  2. Step 2: Convert to fraction form
    278,230.58/417,935.98 = 262,033.82/x
  3. Step 3: Cross multiply
    278,230.58x = 417,935.98 × 262,033.82
  4. Step 4: Simplify right side
    278,230.58x = 109,513,361,354.84
  5. Step 5: Solve for x
    x = 109,513,361,354.84/278,230.58
  6. Step 6: Final answer
    x = 393,606.49

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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.