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Finding the Fourth Proportional to 380,893.78, 571,415.31 and 141,009.65

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Solution

The fourth proportional to 380,893.78, 571,415.31 and 141,009.65 is: 211,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,893.78 : 571,415.31 = 141,009.65 : x
  2. Step 2: Convert to fraction form
    380,893.78/571,415.31 = 141,009.65/x
  3. Step 3: Cross multiply
    380,893.78x = 571,415.31 × 141,009.65
  4. Step 4: Simplify right side
    380,893.78x = 80,575,072,153.47
  5. Step 5: Solve for x
    x = 80,575,072,153.47/380,893.78
  6. Step 6: Final answer
    x = 211,542.10

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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.