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Finding the Fourth Proportional to 264,392.84, 396,530.94 and 77,418.92

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Solution

The fourth proportional to 264,392.84, 396,530.94 and 77,418.92 is: 116,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,392.84 : 396,530.94 = 77,418.92 : x
  2. Step 2: Convert to fraction form
    264,392.84/396,530.94 = 77,418.92/x
  3. Step 3: Cross multiply
    264,392.84x = 396,530.94 × 77,418.92
  4. Step 4: Simplify right side
    264,392.84x = 30,698,997,121.38
  5. Step 5: Solve for x
    x = 30,698,997,121.38/264,392.84
  6. Step 6: Final answer
    x = 116,111.30

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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.