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Finding the Fourth Proportional to 589,430.25, 813,413.79 and 321,158.25

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Solution

The fourth proportional to 589,430.25, 813,413.79 and 321,158.25 is: 443,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,430.25 : 813,413.79 = 321,158.25 : x
  2. Step 2: Convert to fraction form
    589,430.25/813,413.79 = 321,158.25/x
  3. Step 3: Cross multiply
    589,430.25x = 813,413.79 × 321,158.25
  4. Step 4: Simplify right side
    589,430.25x = 261,234,549,322.27
  5. Step 5: Solve for x
    x = 261,234,549,322.27/589,430.25
  6. Step 6: Final answer
    x = 443,198.41

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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.