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Finding the Fourth Proportional to 297,291.92, 446,005.98 and 128,840.54

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Solution

The fourth proportional to 297,291.92, 446,005.98 and 128,840.54 is: 193,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,291.92 : 446,005.98 = 128,840.54 : x
  2. Step 2: Convert to fraction form
    297,291.92/446,005.98 = 128,840.54/x
  3. Step 3: Cross multiply
    297,291.92x = 446,005.98 × 128,840.54
  4. Step 4: Simplify right side
    297,291.92x = 57,463,649,076.40
  5. Step 5: Solve for x
    x = 57,463,649,076.40/297,291.92
  6. Step 6: Final answer
    x = 193,290.32

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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.