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Finding the Fourth Proportional to 309,133.83, 426,609.12 and 180,069

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Solution

The fourth proportional to 309,133.83, 426,609.12 and 180,069 is: 248,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,133.83 : 426,609.12 = 180,069 : x
  2. Step 2: Convert to fraction form
    309,133.83/426,609.12 = 180,069/x
  3. Step 3: Cross multiply
    309,133.83x = 426,609.12 × 180,069
  4. Step 4: Simplify right side
    309,133.83x = 76,819,077,629.28
  5. Step 5: Solve for x
    x = 76,819,077,629.28/309,133.83
  6. Step 6: Final answer
    x = 248,497.80

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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.