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Finding the Fourth Proportional to 455,816.80, 683,725.20 and 314,099.20

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Solution

The fourth proportional to 455,816.80, 683,725.20 and 314,099.20 is: 471,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,816.80 : 683,725.20 = 314,099.20 : x
  2. Step 2: Convert to fraction form
    455,816.80/683,725.20 = 314,099.20/x
  3. Step 3: Cross multiply
    455,816.80x = 683,725.20 × 314,099.20
  4. Step 4: Simplify right side
    455,816.80x = 214,757,538,339.84
  5. Step 5: Solve for x
    x = 214,757,538,339.84/455,816.80
  6. Step 6: Final answer
    x = 471,148.80

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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.