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Finding the Fourth Proportional to 503,054.74, 693,986.55 and 298,989.71

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Solution

The fourth proportional to 503,054.74, 693,986.55 and 298,989.71 is: 412,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,054.74 : 693,986.55 = 298,989.71 : x
  2. Step 2: Convert to fraction form
    503,054.74/693,986.55 = 298,989.71/x
  3. Step 3: Cross multiply
    503,054.74x = 693,986.55 × 298,989.71
  4. Step 4: Simplify right side
    503,054.74x = 207,494,835,069.69
  5. Step 5: Solve for x
    x = 207,494,835,069.69/503,054.74
  6. Step 6: Final answer
    x = 412,469.69

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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.