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Finding the Fourth Proportional to 200,782,728.80, 301,167,872.40 and 57,175,560.80

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Solution

The fourth proportional to 200,782,728.80, 301,167,872.40 and 57,175,560.80 is: 85,761,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782,728.80 : 301,167,872.40 = 57,175,560.80 : x
  2. Step 2: Convert to fraction form
    200,782,728.80/301,167,872.40 = 57,175,560.80/x
  3. Step 3: Cross multiply
    200,782,728.80x = 301,167,872.40 × 57,175,560.80
  4. Step 4: Simplify right side
    200,782,728.80x = 17,219,441,999,412,840
  5. Step 5: Solve for x
    x = 17,219,441,999,412,840/200,782,728.80
  6. Step 6: Final answer
    x = 85,761,569.74

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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.