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Finding the Fourth Proportional to 380,667.51, 571,053.69 and 127,967.61

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Solution

The fourth proportional to 380,667.51, 571,053.69 and 127,967.61 is: 191,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,667.51 : 571,053.69 = 127,967.61 : x
  2. Step 2: Convert to fraction form
    380,667.51/571,053.69 = 127,967.61/x
  3. Step 3: Cross multiply
    380,667.51x = 571,053.69 × 127,967.61
  4. Step 4: Simplify right side
    380,667.51x = 73,076,375,890.98
  5. Step 5: Solve for x
    x = 73,076,375,890.98/380,667.51
  6. Step 6: Final answer
    x = 191,969.04

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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.