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Finding the Fourth Proportional to 210,447.39, 290,413.76 and 114,951.63

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Solution

The fourth proportional to 210,447.39, 290,413.76 and 114,951.63 is: 158,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,447.39 : 290,413.76 = 114,951.63 : x
  2. Step 2: Convert to fraction form
    210,447.39/290,413.76 = 114,951.63/x
  3. Step 3: Cross multiply
    210,447.39x = 290,413.76 × 114,951.63
  4. Step 4: Simplify right side
    210,447.39x = 33,383,534,511.67
  5. Step 5: Solve for x
    x = 33,383,534,511.67/210,447.39
  6. Step 6: Final answer
    x = 158,631.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.