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Finding the Fourth Proportional to 257,323.24, 385,984.86 and 70,336.36

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Solution

The fourth proportional to 257,323.24, 385,984.86 and 70,336.36 is: 105,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,323.24 : 385,984.86 = 70,336.36 : x
  2. Step 2: Convert to fraction form
    257,323.24/385,984.86 = 70,336.36/x
  3. Step 3: Cross multiply
    257,323.24x = 385,984.86 × 70,336.36
  4. Step 4: Simplify right side
    257,323.24x = 27,148,770,067.51
  5. Step 5: Solve for x
    x = 27,148,770,067.51/257,323.24
  6. Step 6: Final answer
    x = 105,504.54

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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.