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Finding the Fourth Proportional to 297,816.40, 446,782.20 and 87,461.20

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Solution

The fourth proportional to 297,816.40, 446,782.20 and 87,461.20 is: 131,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,816.40 : 446,782.20 = 87,461.20 : x
  2. Step 2: Convert to fraction form
    297,816.40/446,782.20 = 87,461.20/x
  3. Step 3: Cross multiply
    297,816.40x = 446,782.20 × 87,461.20
  4. Step 4: Simplify right side
    297,816.40x = 39,076,107,350.64
  5. Step 5: Solve for x
    x = 39,076,107,350.64/297,816.40
  6. Step 6: Final answer
    x = 131,208.72

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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.