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Finding the Fourth Proportional to 243,742.20, 365,613.30 and 212,638.20

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Solution

The fourth proportional to 243,742.20, 365,613.30 and 212,638.20 is: 318,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,742.20 : 365,613.30 = 212,638.20 : x
  2. Step 2: Convert to fraction form
    243,742.20/365,613.30 = 212,638.20/x
  3. Step 3: Cross multiply
    243,742.20x = 365,613.30 × 212,638.20
  4. Step 4: Simplify right side
    243,742.20x = 77,743,354,008.06
  5. Step 5: Solve for x
    x = 77,743,354,008.06/243,742.20
  6. Step 6: Final answer
    x = 318,957.30

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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.