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Finding the Fourth Proportional to 263,993.04, 395,957.40 and 77,004.72

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Solution

The fourth proportional to 263,993.04, 395,957.40 and 77,004.72 is: 115,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,993.04 : 395,957.40 = 77,004.72 : x
  2. Step 2: Convert to fraction form
    263,993.04/395,957.40 = 77,004.72/x
  3. Step 3: Cross multiply
    263,993.04x = 395,957.40 × 77,004.72
  4. Step 4: Simplify right side
    263,993.04x = 30,490,588,718.93
  5. Step 5: Solve for x
    x = 30,490,588,718.93/263,993.04
  6. Step 6: Final answer
    x = 115,497.70

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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.