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Finding the Fourth Proportional to 290,664.82, 435,992.91 and 80,298.10

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Solution

The fourth proportional to 290,664.82, 435,992.91 and 80,298.10 is: 120,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,664.82 : 435,992.91 = 80,298.10 : x
  2. Step 2: Convert to fraction form
    290,664.82/435,992.91 = 80,298.10/x
  3. Step 3: Cross multiply
    290,664.82x = 435,992.91 × 80,298.10
  4. Step 4: Simplify right side
    290,664.82x = 35,009,402,286.47
  5. Step 5: Solve for x
    x = 35,009,402,286.47/290,664.82
  6. Step 6: Final answer
    x = 120,445.96

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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.