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Finding the Fourth Proportional to 411,894.70, 617,064.45 and 211,533.10

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Solution

The fourth proportional to 411,894.70, 617,064.45 and 211,533.10 is: 316,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,894.70 : 617,064.45 = 211,533.10 : x
  2. Step 2: Convert to fraction form
    411,894.70/617,064.45 = 211,533.10/x
  3. Step 3: Cross multiply
    411,894.70x = 617,064.45 × 211,533.10
  4. Step 4: Simplify right side
    411,894.70x = 130,529,556,008.30
  5. Step 5: Solve for x
    x = 130,529,556,008.30/411,894.70
  6. Step 6: Final answer
    x = 316,900.30

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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.