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Finding the Fourth Proportional to 264,999.36, 397,501.92 and 78,014.40

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Solution

The fourth proportional to 264,999.36, 397,501.92 and 78,014.40 is: 117,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,999.36 : 397,501.92 = 78,014.40 : x
  2. Step 2: Convert to fraction form
    264,999.36/397,501.92 = 78,014.40/x
  3. Step 3: Cross multiply
    264,999.36x = 397,501.92 × 78,014.40
  4. Step 4: Simplify right side
    264,999.36x = 31,010,873,787.65
  5. Step 5: Solve for x
    x = 31,010,873,787.65/264,999.36
  6. Step 6: Final answer
    x = 117,022.45

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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.