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Finding the Fourth Proportional to 227,643.20, 341,464.80 and 212,091.20

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Solution

The fourth proportional to 227,643.20, 341,464.80 and 212,091.20 is: 318,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,643.20 : 341,464.80 = 212,091.20 : x
  2. Step 2: Convert to fraction form
    227,643.20/341,464.80 = 212,091.20/x
  3. Step 3: Cross multiply
    227,643.20x = 341,464.80 × 212,091.20
  4. Step 4: Simplify right side
    227,643.20x = 72,421,679,189.76
  5. Step 5: Solve for x
    x = 72,421,679,189.76/227,643.20
  6. Step 6: Final answer
    x = 318,136.80

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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.