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Finding the Fourth Proportional to 254,984,673.20, 382,477,009.80 and 82,585,212.80

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Solution

The fourth proportional to 254,984,673.20, 382,477,009.80 and 82,585,212.80 is: 123,877,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,984,673.20 : 382,477,009.80 = 82,585,212.80 : x
  2. Step 2: Convert to fraction form
    254,984,673.20/382,477,009.80 = 82,585,212.80/x
  3. Step 3: Cross multiply
    254,984,673.20x = 382,477,009.80 × 82,585,212.80
  4. Step 4: Simplify right side
    254,984,673.20x = 31,586,945,245,440,684
  5. Step 5: Solve for x
    x = 31,586,945,245,440,684/254,984,673.20
  6. Step 6: Final answer
    x = 123,877,819.20

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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.