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Finding the Fourth Proportional to 257,033.60, 385,291.20 and 116,892.80

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Solution

The fourth proportional to 257,033.60, 385,291.20 and 116,892.80 is: 175,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,033.60 : 385,291.20 = 116,892.80 : x
  2. Step 2: Convert to fraction form
    257,033.60/385,291.20 = 116,892.80/x
  3. Step 3: Cross multiply
    257,033.60x = 385,291.20 × 116,892.80
  4. Step 4: Simplify right side
    257,033.60x = 45,037,767,183.36
  5. Step 5: Solve for x
    x = 45,037,767,183.36/257,033.60
  6. Step 6: Final answer
    x = 175,221.32

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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.