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Finding the Fourth Proportional to 455,850.39, 683,784.42 and 140,307

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Solution

The fourth proportional to 455,850.39, 683,784.42 and 140,307 is: 210,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,850.39 : 683,784.42 = 140,307 : x
  2. Step 2: Convert to fraction form
    455,850.39/683,784.42 = 140,307/x
  3. Step 3: Cross multiply
    455,850.39x = 683,784.42 × 140,307
  4. Step 4: Simplify right side
    455,850.39x = 95,939,740,616.94
  5. Step 5: Solve for x
    x = 95,939,740,616.94/455,850.39
  6. Step 6: Final answer
    x = 210,463.22

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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.