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Finding the Fourth Proportional to 298,427.06, 447,241.31 and 146,391.70

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Solution

The fourth proportional to 298,427.06, 447,241.31 and 146,391.70 is: 219,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,427.06 : 447,241.31 = 146,391.70 : x
  2. Step 2: Convert to fraction form
    298,427.06/447,241.31 = 146,391.70/x
  3. Step 3: Cross multiply
    298,427.06x = 447,241.31 × 146,391.70
  4. Step 4: Simplify right side
    298,427.06x = 65,472,415,681.13
  5. Step 5: Solve for x
    x = 65,472,415,681.13/298,427.06
  6. Step 6: Final answer
    x = 219,391.69

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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.