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Finding the Fourth Proportional to 511,976.79, 768,308.00 and 212,457.67

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Solution

The fourth proportional to 511,976.79, 768,308.00 and 212,457.67 is: 318,828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,976.79 : 768,308.00 = 212,457.67 : x
  2. Step 2: Convert to fraction form
    511,976.79/768,308.00 = 212,457.67/x
  3. Step 3: Cross multiply
    511,976.79x = 768,308.00 × 212,457.67
  4. Step 4: Simplify right side
    511,976.79x = 163,232,924,539.30
  5. Step 5: Solve for x
    x = 163,232,924,539.30/511,976.79
  6. Step 6: Final answer
    x = 318,828.76

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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.