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Finding the Fourth Proportional to 511,981.29, 768,314.76 and 212,462.19

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Solution

The fourth proportional to 511,981.29, 768,314.76 and 212,462.19 is: 318,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,981.29 : 768,314.76 = 212,462.19 : x
  2. Step 2: Convert to fraction form
    511,981.29/768,314.76 = 212,462.19/x
  3. Step 3: Cross multiply
    511,981.29x = 768,314.76 × 212,462.19
  4. Step 4: Simplify right side
    511,981.29x = 163,237,836,518.92
  5. Step 5: Solve for x
    x = 163,237,836,518.92/511,981.29
  6. Step 6: Final answer
    x = 318,835.55

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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.