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Finding the Fourth Proportional to 290,413.40, 435,675.36 and 100,866.56

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Solution

The fourth proportional to 290,413.40, 435,675.36 and 100,866.56 is: 151,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413.40 : 435,675.36 = 100,866.56 : x
  2. Step 2: Convert to fraction form
    290,413.40/435,675.36 = 100,866.56/x
  3. Step 3: Cross multiply
    290,413.40x = 435,675.36 × 100,866.56
  4. Step 4: Simplify right side
    290,413.40x = 43,945,074,839.96
  5. Step 5: Solve for x
    x = 43,945,074,839.96/290,413.40
  6. Step 6: Final answer
    x = 151,319.03

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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.