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Finding the Fourth Proportional to 298,506.74, 447,763.41 and 127,705.19

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Solution

The fourth proportional to 298,506.74, 447,763.41 and 127,705.19 is: 191,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,506.74 : 447,763.41 = 127,705.19 : x
  2. Step 2: Convert to fraction form
    298,506.74/447,763.41 = 127,705.19/x
  3. Step 3: Cross multiply
    298,506.74x = 447,763.41 × 127,705.19
  4. Step 4: Simplify right side
    298,506.74x = 57,181,709,110.28
  5. Step 5: Solve for x
    x = 57,181,709,110.28/298,506.74
  6. Step 6: Final answer
    x = 191,559.19

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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.