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Finding the Fourth Proportional to 298,054.53, 447,278.76 and 140,328.09

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Solution

The fourth proportional to 298,054.53, 447,278.76 and 140,328.09 is: 210,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,054.53 : 447,278.76 = 140,328.09 : x
  2. Step 2: Convert to fraction form
    298,054.53/447,278.76 = 140,328.09/x
  3. Step 3: Cross multiply
    298,054.53x = 447,278.76 × 140,328.09
  4. Step 4: Simplify right side
    298,054.53x = 62,765,774,088.37
  5. Step 5: Solve for x
    x = 62,765,774,088.37/298,054.53
  6. Step 6: Final answer
    x = 210,584.87

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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.