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Finding the Fourth Proportional to 380,421.78, 524,978.28 and 205,991.10

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Solution

The fourth proportional to 380,421.78, 524,978.28 and 205,991.10 is: 284,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,421.78 : 524,978.28 = 205,991.10 : x
  2. Step 2: Convert to fraction form
    380,421.78/524,978.28 = 205,991.10/x
  3. Step 3: Cross multiply
    380,421.78x = 524,978.28 × 205,991.10
  4. Step 4: Simplify right side
    380,421.78x = 108,140,853,373.31
  5. Step 5: Solve for x
    x = 108,140,853,373.31/380,421.78
  6. Step 6: Final answer
    x = 284,265.67

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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.