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Finding the Fourth Proportional to 299,448,280.80, 449,172,421.20 and 255,610,303.20

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Solution

The fourth proportional to 299,448,280.80, 449,172,421.20 and 255,610,303.20 is: 383,415,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,448,280.80 : 449,172,421.20 = 255,610,303.20 : x
  2. Step 2: Convert to fraction form
    299,448,280.80/449,172,421.20 = 255,610,303.20/x
  3. Step 3: Cross multiply
    299,448,280.80x = 449,172,421.20 × 255,610,303.20
  4. Step 4: Simplify right side
    299,448,280.80x = 114,813,098,772,010,096
  5. Step 5: Solve for x
    x = 114,813,098,772,010,096/299,448,280.80
  6. Step 6: Final answer
    x = 383,415,454.80

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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.