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Finding the Fourth Proportional to 255,457, 383,524.62 and 218,256.04

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Solution

The fourth proportional to 255,457, 383,524.62 and 218,256.04 is: 327,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,457 : 383,524.62 = 218,256.04 : x
  2. Step 2: Convert to fraction form
    255,457/383,524.62 = 218,256.04/x
  3. Step 3: Cross multiply
    255,457x = 383,524.62 × 218,256.04
  4. Step 4: Simplify right side
    255,457x = 83,706,564,803.70
  5. Step 5: Solve for x
    x = 83,706,564,803.70/255,457
  6. Step 6: Final answer
    x = 327,673.80

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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.