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Finding the Fourth Proportional to 257,383,840.80, 386,075,761.20 and 257,383,840.80

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Solution

The fourth proportional to 257,383,840.80, 386,075,761.20 and 257,383,840.80 is: 386,075,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,383,840.80 : 386,075,761.20 = 257,383,840.80 : x
  2. Step 2: Convert to fraction form
    257,383,840.80/386,075,761.20 = 257,383,840.80/x
  3. Step 3: Cross multiply
    257,383,840.80x = 386,075,761.20 × 257,383,840.80
  4. Step 4: Simplify right side
    257,383,840.80x = 99,369,662,257,439,616
  5. Step 5: Solve for x
    x = 99,369,662,257,439,616/257,383,840.80
  6. Step 6: Final answer
    x = 386,075,761.20

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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.