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Finding the Fourth Proportional to 411,914.20, 617,093.70 and 211,552.60

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Solution

The fourth proportional to 411,914.20, 617,093.70 and 211,552.60 is: 316,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,914.20 : 617,093.70 = 211,552.60 : x
  2. Step 2: Convert to fraction form
    411,914.20/617,093.70 = 211,552.60/x
  3. Step 3: Cross multiply
    411,914.20x = 617,093.70 × 211,552.60
  4. Step 4: Simplify right side
    411,914.20x = 130,547,776,678.62
  5. Step 5: Solve for x
    x = 130,547,776,678.62/411,914.20
  6. Step 6: Final answer
    x = 316,929.54

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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.