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Finding the Fourth Proportional to 290,093.68, 435,151.47 and 90,413.29

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Solution

The fourth proportional to 290,093.68, 435,151.47 and 90,413.29 is: 135,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,093.68 : 435,151.47 = 90,413.29 : x
  2. Step 2: Convert to fraction form
    290,093.68/435,151.47 = 90,413.29/x
  3. Step 3: Cross multiply
    290,093.68x = 435,151.47 × 90,413.29
  4. Step 4: Simplify right side
    290,093.68x = 39,343,476,051.04
  5. Step 5: Solve for x
    x = 39,343,476,051.04/290,093.68
  6. Step 6: Final answer
    x = 135,623.35

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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.