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Finding the Fourth Proportional to 270,582.32, 405,876.22 and 120,830.23

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Solution

The fourth proportional to 270,582.32, 405,876.22 and 120,830.23 is: 181,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,582.32 : 405,876.22 = 120,830.23 : x
  2. Step 2: Convert to fraction form
    270,582.32/405,876.22 = 120,830.23/x
  3. Step 3: Cross multiply
    270,582.32x = 405,876.22 × 120,830.23
  4. Step 4: Simplify right side
    270,582.32x = 49,042,117,219.40
  5. Step 5: Solve for x
    x = 49,042,117,219.40/270,582.32
  6. Step 6: Final answer
    x = 181,246.57

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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.