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Finding the Fourth Proportional to 427,301.32, 589,610.31 and 245,978.21

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Solution

The fourth proportional to 427,301.32, 589,610.31 and 245,978.21 is: 339,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,301.32 : 589,610.31 = 245,978.21 : x
  2. Step 2: Convert to fraction form
    427,301.32/589,610.31 = 245,978.21/x
  3. Step 3: Cross multiply
    427,301.32x = 589,610.31 × 245,978.21
  4. Step 4: Simplify right side
    427,301.32x = 145,031,289,202.95
  5. Step 5: Solve for x
    x = 145,031,289,202.95/427,301.32
  6. Step 6: Final answer
    x = 339,412.22

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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.