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Finding the Fourth Proportional to 290,043.44, 435,047.58 and 172,463

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Solution

The fourth proportional to 290,043.44, 435,047.58 and 172,463 is: 258,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,043.44 : 435,047.58 = 172,463 : x
  2. Step 2: Convert to fraction form
    290,043.44/435,047.58 = 172,463/x
  3. Step 3: Cross multiply
    290,043.44x = 435,047.58 × 172,463
  4. Step 4: Simplify right side
    290,043.44x = 75,029,610,789.54
  5. Step 5: Solve for x
    x = 75,029,610,789.54/290,043.44
  6. Step 6: Final answer
    x = 258,684.05

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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.