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Finding the Fourth Proportional to 299,383,677.60, 449,075,516.40 and 146,128,048.80

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Solution

The fourth proportional to 299,383,677.60, 449,075,516.40 and 146,128,048.80 is: 219,192,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,383,677.60 : 449,075,516.40 = 146,128,048.80 : x
  2. Step 2: Convert to fraction form
    299,383,677.60/449,075,516.40 = 146,128,048.80/x
  3. Step 3: Cross multiply
    299,383,677.60x = 449,075,516.40 × 146,128,048.80
  4. Step 4: Simplify right side
    299,383,677.60x = 65,622,528,975,384,400
  5. Step 5: Solve for x
    x = 65,622,528,975,384,400/299,383,677.60
  6. Step 6: Final answer
    x = 219,192,073.20

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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.