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Finding the Fourth Proportional to 300,782.81, 415,068.09 and 179,852.78

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Solution

The fourth proportional to 300,782.81, 415,068.09 and 179,852.78 is: 248,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,782.81 : 415,068.09 = 179,852.78 : x
  2. Step 2: Convert to fraction form
    300,782.81/415,068.09 = 179,852.78/x
  3. Step 3: Cross multiply
    300,782.81x = 415,068.09 × 179,852.78
  4. Step 4: Simplify right side
    300,782.81x = 74,651,149,875.79
  5. Step 5: Solve for x
    x = 74,651,149,875.79/300,782.81
  6. Step 6: Final answer
    x = 248,189.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.