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Finding the Fourth Proportional to 288,413.81, 398,019.08 and 159,360.60

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Solution

The fourth proportional to 288,413.81, 398,019.08 and 159,360.60 is: 219,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,413.81 : 398,019.08 = 159,360.60 : x
  2. Step 2: Convert to fraction form
    288,413.81/398,019.08 = 159,360.60/x
  3. Step 3: Cross multiply
    288,413.81x = 398,019.08 × 159,360.60
  4. Step 4: Simplify right side
    288,413.81x = 63,428,557,410.15
  5. Step 5: Solve for x
    x = 63,428,557,410.15/288,413.81
  6. Step 6: Final answer
    x = 219,922.06

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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.