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Finding the Fourth Proportional to 411,950.70, 617,148.45 and 211,589.10

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Solution

The fourth proportional to 411,950.70, 617,148.45 and 211,589.10 is: 316,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,950.70 : 617,148.45 = 211,589.10 : x
  2. Step 2: Convert to fraction form
    411,950.70/617,148.45 = 211,589.10/x
  3. Step 3: Cross multiply
    411,950.70x = 617,148.45 × 211,589.10
  4. Step 4: Simplify right side
    411,950.70x = 130,581,885,101.90
  5. Step 5: Solve for x
    x = 130,581,885,101.90/411,950.70
  6. Step 6: Final answer
    x = 316,984.25

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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.