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Finding the Fourth Proportional to 290,413.09, 435,731.31 and 140,641.86

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Solution

The fourth proportional to 290,413.09, 435,731.31 and 140,641.86 is: 211,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413.09 : 435,731.31 = 140,641.86 : x
  2. Step 2: Convert to fraction form
    290,413.09/435,731.31 = 140,641.86/x
  3. Step 3: Cross multiply
    290,413.09x = 435,731.31 × 140,641.86
  4. Step 4: Simplify right side
    290,413.09x = 61,282,061,898.64
  5. Step 5: Solve for x
    x = 61,282,061,898.64/290,413.09
  6. Step 6: Final answer
    x = 211,016.87

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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.