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Finding the Fourth Proportional to 392,413.20, 587,064.60 and 340,400.40

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Solution

The fourth proportional to 392,413.20, 587,064.60 and 340,400.40 is: 509,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,413.20 : 587,064.60 = 340,400.40 : x
  2. Step 2: Convert to fraction form
    392,413.20/587,064.60 = 340,400.40/x
  3. Step 3: Cross multiply
    392,413.20x = 587,064.60 × 340,400.40
  4. Step 4: Simplify right side
    392,413.20x = 199,837,024,665.84
  5. Step 5: Solve for x
    x = 199,837,024,665.84/392,413.20
  6. Step 6: Final answer
    x = 509,251.54

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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.