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Finding the Fourth Proportional to 443,700, 665,655.12 and 144,181.44

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Solution

The fourth proportional to 443,700, 665,655.12 and 144,181.44 is: 216,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,700 : 665,655.12 = 144,181.44 : x
  2. Step 2: Convert to fraction form
    443,700/665,655.12 = 144,181.44/x
  3. Step 3: Cross multiply
    443,700x = 665,655.12 × 144,181.44
  4. Step 4: Simplify right side
    443,700x = 95,975,113,744.97
  5. Step 5: Solve for x
    x = 95,975,113,744.97/443,700
  6. Step 6: Final answer
    x = 216,306.32

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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.