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Finding the Fourth Proportional to 470,589.38, 649,413.45 and 255,728.93

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Solution

The fourth proportional to 470,589.38, 649,413.45 and 255,728.93 is: 352,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,589.38 : 649,413.45 = 255,728.93 : x
  2. Step 2: Convert to fraction form
    470,589.38/649,413.45 = 255,728.93/x
  3. Step 3: Cross multiply
    470,589.38x = 649,413.45 × 255,728.93
  4. Step 4: Simplify right side
    470,589.38x = 166,073,803,449.04
  5. Step 5: Solve for x
    x = 166,073,803,449.04/470,589.38
  6. Step 6: Final answer
    x = 352,905.98

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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.