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Finding the Fourth Proportional to 299,271,792.80, 448,907,689.20 and 290,313,840.80

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Solution

The fourth proportional to 299,271,792.80, 448,907,689.20 and 290,313,840.80 is: 435,470,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,271,792.80 : 448,907,689.20 = 290,313,840.80 : x
  2. Step 2: Convert to fraction form
    299,271,792.80/448,907,689.20 = 290,313,840.80/x
  3. Step 3: Cross multiply
    299,271,792.80x = 448,907,689.20 × 290,313,840.80
  4. Step 4: Simplify right side
    299,271,792.80x = 130,324,115,416,304,688
  5. Step 5: Solve for x
    x = 130,324,115,416,304,688/299,271,792.80
  6. Step 6: Final answer
    x = 435,470,761.20

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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.