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Finding the Fourth Proportional to 379,978.14, 524,385.27 and 210,209.34

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Solution

The fourth proportional to 379,978.14, 524,385.27 and 210,209.34 is: 290,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,978.14 : 524,385.27 = 210,209.34 : x
  2. Step 2: Convert to fraction form
    379,978.14/524,385.27 = 210,209.34/x
  3. Step 3: Cross multiply
    379,978.14x = 524,385.27 × 210,209.34
  4. Step 4: Simplify right side
    379,978.14x = 110,230,681,512.42
  5. Step 5: Solve for x
    x = 110,230,681,512.42/379,978.14
  6. Step 6: Final answer
    x = 290,097.43

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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.