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Finding the Fourth Proportional to 297,420.40, 446,422.20 and 147,829.60

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Solution

The fourth proportional to 297,420.40, 446,422.20 and 147,829.60 is: 221,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,420.40 : 446,422.20 = 147,829.60 : x
  2. Step 2: Convert to fraction form
    297,420.40/446,422.20 = 147,829.60/x
  3. Step 3: Cross multiply
    297,420.40x = 446,422.20 × 147,829.60
  4. Step 4: Simplify right side
    297,420.40x = 65,994,415,257.12
  5. Step 5: Solve for x
    x = 65,994,415,257.12/297,420.40
  6. Step 6: Final answer
    x = 221,889.34

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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.