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Finding the Fourth Proportional to 290,179.40, 435,006.48 and 103,147.16

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Solution

The fourth proportional to 290,179.40, 435,006.48 and 103,147.16 is: 154,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,179.40 : 435,006.48 = 103,147.16 : x
  2. Step 2: Convert to fraction form
    290,179.40/435,006.48 = 103,147.16/x
  3. Step 3: Cross multiply
    290,179.40x = 435,006.48 × 103,147.16
  4. Step 4: Simplify right side
    290,179.40x = 44,869,682,993.60
  5. Step 5: Solve for x
    x = 44,869,682,993.60/290,179.40
  6. Step 6: Final answer
    x = 154,627.39

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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.