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Finding the Fourth Proportional to 255,638,481.60, 383,457,722.40 and 214,823,812.80

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Solution

The fourth proportional to 255,638,481.60, 383,457,722.40 and 214,823,812.80 is: 322,235,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,638,481.60 : 383,457,722.40 = 214,823,812.80 : x
  2. Step 2: Convert to fraction form
    255,638,481.60/383,457,722.40 = 214,823,812.80/x
  3. Step 3: Cross multiply
    255,638,481.60x = 383,457,722.40 × 214,823,812.80
  4. Step 4: Simplify right side
    255,638,481.60x = 82,375,849,973,571,968
  5. Step 5: Solve for x
    x = 82,375,849,973,571,968/255,638,481.60
  6. Step 6: Final answer
    x = 322,235,719.20

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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.