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Finding the Fourth Proportional to 290,120.91, 435,848.55 and 206,085.57

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Solution

The fourth proportional to 290,120.91, 435,848.55 and 206,085.57 is: 309,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,120.91 : 435,848.55 = 206,085.57 : x
  2. Step 2: Convert to fraction form
    290,120.91/435,848.55 = 206,085.57/x
  3. Step 3: Cross multiply
    290,120.91x = 435,848.55 × 206,085.57
  4. Step 4: Simplify right side
    290,120.91x = 89,822,096,860.42
  5. Step 5: Solve for x
    x = 89,822,096,860.42/290,120.91
  6. Step 6: Final answer
    x = 309,602.29

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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.