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Finding the Fourth Proportional to 309,259.23, 463,978.76 and 129,429.51

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Solution

The fourth proportional to 309,259.23, 463,978.76 and 129,429.51 is: 194,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,259.23 : 463,978.76 = 129,429.51 : x
  2. Step 2: Convert to fraction form
    309,259.23/463,978.76 = 129,429.51/x
  3. Step 3: Cross multiply
    309,259.23x = 463,978.76 × 129,429.51
  4. Step 4: Simplify right side
    309,259.23x = 60,052,542,910.06
  5. Step 5: Solve for x
    x = 60,052,542,910.06/309,259.23
  6. Step 6: Final answer
    x = 194,181.89

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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.