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Finding the Fourth Proportional to 290,609.92, 435,650.82 and 259,117.12

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Solution

The fourth proportional to 290,609.92, 435,650.82 and 259,117.12 is: 388,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,609.92 : 435,650.82 = 259,117.12 : x
  2. Step 2: Convert to fraction form
    290,609.92/435,650.82 = 259,117.12/x
  3. Step 3: Cross multiply
    290,609.92x = 435,650.82 × 259,117.12
  4. Step 4: Simplify right side
    290,609.92x = 112,884,585,804.04
  5. Step 5: Solve for x
    x = 112,884,585,804.04/290,609.92
  6. Step 6: Final answer
    x = 388,440.24

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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.