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Finding the Fourth Proportional to 499,864, 689,812.32 and 273,509.50

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Solution

The fourth proportional to 499,864, 689,812.32 and 273,509.50 is: 377,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,864 : 689,812.32 = 273,509.50 : x
  2. Step 2: Convert to fraction form
    499,864/689,812.32 = 273,509.50/x
  3. Step 3: Cross multiply
    499,864x = 689,812.32 × 273,509.50
  4. Step 4: Simplify right side
    499,864x = 188,670,222,737.04
  5. Step 5: Solve for x
    x = 188,670,222,737.04/499,864
  6. Step 6: Final answer
    x = 377,443.11

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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.