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Finding the Fourth Proportional to 290,608.92, 435,649.32 and 259,116.12

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Solution

The fourth proportional to 290,608.92, 435,649.32 and 259,116.12 is: 388,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,608.92 : 435,649.32 = 259,116.12 : x
  2. Step 2: Convert to fraction form
    290,608.92/435,649.32 = 259,116.12/x
  3. Step 3: Cross multiply
    290,608.92x = 435,649.32 × 259,116.12
  4. Step 4: Simplify right side
    290,608.92x = 112,883,761,479.04
  5. Step 5: Solve for x
    x = 112,883,761,479.04/290,608.92
  6. Step 6: Final answer
    x = 388,438.74

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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.