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Finding the Fourth Proportional to 350,046.09, 524,301 and 289,387.09

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Solution

The fourth proportional to 350,046.09, 524,301 and 289,387.09 is: 433,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,046.09 : 524,301 = 289,387.09 : x
  2. Step 2: Convert to fraction form
    350,046.09/524,301 = 289,387.09/x
  3. Step 3: Cross multiply
    350,046.09x = 524,301 × 289,387.09
  4. Step 4: Simplify right side
    350,046.09x = 151,725,940,674.09
  5. Step 5: Solve for x
    x = 151,725,940,674.09/350,046.09
  6. Step 6: Final answer
    x = 433,445.61

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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.