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Finding the Fourth Proportional to 499,413.60, 689,113.44 and 284,562.72

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Solution

The fourth proportional to 499,413.60, 689,113.44 and 284,562.72 is: 392,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,413.60 : 689,113.44 = 284,562.72 : x
  2. Step 2: Convert to fraction form
    499,413.60/689,113.44 = 284,562.72/x
  3. Step 3: Cross multiply
    499,413.60x = 689,113.44 × 284,562.72
  4. Step 4: Simplify right side
    499,413.60x = 196,095,994,874.96
  5. Step 5: Solve for x
    x = 196,095,994,874.96/499,413.60
  6. Step 6: Final answer
    x = 392,652.49

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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.