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Finding the Fourth Proportional to 257,289,612.80, 361,160,972.80 and 257,289,612.80

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Solution

The fourth proportional to 257,289,612.80, 361,160,972.80 and 257,289,612.80 is: 361,160,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,289,612.80 : 361,160,972.80 = 257,289,612.80 : x
  2. Step 2: Convert to fraction form
    257,289,612.80/361,160,972.80 = 257,289,612.80/x
  3. Step 3: Cross multiply
    257,289,612.80x = 361,160,972.80 × 257,289,612.80
  4. Step 4: Simplify right side
    257,289,612.80x = 92,922,966,850,183,344
  5. Step 5: Solve for x
    x = 92,922,966,850,183,344/257,289,612.80
  6. Step 6: Final answer
    x = 361,160,972.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.