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Finding the Fourth Proportional to 290,162.74, 435,367.14 and 140,514.53

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Solution

The fourth proportional to 290,162.74, 435,367.14 and 140,514.53 is: 210,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,162.74 : 435,367.14 = 140,514.53 : x
  2. Step 2: Convert to fraction form
    290,162.74/435,367.14 = 140,514.53/x
  3. Step 3: Cross multiply
    290,162.74x = 435,367.14 × 140,514.53
  4. Step 4: Simplify right side
    290,162.74x = 61,175,409,054.54
  5. Step 5: Solve for x
    x = 61,175,409,054.54/290,162.74
  6. Step 6: Final answer
    x = 210,831.37

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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.