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Finding the Fourth Proportional to 213,090.80, 320,413.80 and 178,876.40

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Solution

The fourth proportional to 213,090.80, 320,413.80 and 178,876.40 is: 268,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090.80 : 320,413.80 = 178,876.40 : x
  2. Step 2: Convert to fraction form
    213,090.80/320,413.80 = 178,876.40/x
  3. Step 3: Cross multiply
    213,090.80x = 320,413.80 × 178,876.40
  4. Step 4: Simplify right side
    213,090.80x = 57,314,467,054.32
  5. Step 5: Solve for x
    x = 57,314,467,054.32/213,090.80
  6. Step 6: Final answer
    x = 268,967.35

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1.5x scale

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.