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Finding the Fourth Proportional to 510,851.40, 764,964.90 and 405,000.60

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Solution

The fourth proportional to 510,851.40, 764,964.90 and 405,000.60 is: 606,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,851.40 : 764,964.90 = 405,000.60 : x
  2. Step 2: Convert to fraction form
    510,851.40/764,964.90 = 405,000.60/x
  3. Step 3: Cross multiply
    510,851.40x = 764,964.90 × 405,000.60
  4. Step 4: Simplify right side
    510,851.40x = 309,811,243,478.94
  5. Step 5: Solve for x
    x = 309,811,243,478.94/510,851.40
  6. Step 6: Final answer
    x = 606,460.59

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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.