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Finding the Fourth Proportional to 289,290.52, 434,004.58 and 120,717.17

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Solution

The fourth proportional to 289,290.52, 434,004.58 and 120,717.17 is: 181,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,290.52 : 434,004.58 = 120,717.17 : x
  2. Step 2: Convert to fraction form
    289,290.52/434,004.58 = 120,717.17/x
  3. Step 3: Cross multiply
    289,290.52x = 434,004.58 × 120,717.17
  4. Step 4: Simplify right side
    289,290.52x = 52,391,804,273.03
  5. Step 5: Solve for x
    x = 52,391,804,273.03/289,290.52
  6. Step 6: Final answer
    x = 181,104.46

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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.