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Finding the Fourth Proportional to 212,768.60, 319,152.90 and 146,413.40

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Solution

The fourth proportional to 212,768.60, 319,152.90 and 146,413.40 is: 219,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,768.60 : 319,152.90 = 146,413.40 : x
  2. Step 2: Convert to fraction form
    212,768.60/319,152.90 = 146,413.40/x
  3. Step 3: Cross multiply
    212,768.60x = 319,152.90 × 146,413.40
  4. Step 4: Simplify right side
    212,768.60x = 46,728,261,208.86
  5. Step 5: Solve for x
    x = 46,728,261,208.86/212,768.60
  6. Step 6: Final answer
    x = 219,620.10

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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.