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Finding the Fourth Proportional to 290,727.30, 436,090.95 and 211,412.10

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Solution

The fourth proportional to 290,727.30, 436,090.95 and 211,412.10 is: 317,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,727.30 : 436,090.95 = 211,412.10 : x
  2. Step 2: Convert to fraction form
    290,727.30/436,090.95 = 211,412.10/x
  3. Step 3: Cross multiply
    290,727.30x = 436,090.95 × 211,412.10
  4. Step 4: Simplify right side
    290,727.30x = 92,194,903,530.50
  5. Step 5: Solve for x
    x = 92,194,903,530.50/290,727.30
  6. Step 6: Final answer
    x = 317,118.15

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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.