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Finding the Fourth Proportional to 462,473.40, 693,249.30 and 212,719.80

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Solution

The fourth proportional to 462,473.40, 693,249.30 and 212,719.80 is: 318,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,473.40 : 693,249.30 = 212,719.80 : x
  2. Step 2: Convert to fraction form
    462,473.40/693,249.30 = 212,719.80/x
  3. Step 3: Cross multiply
    462,473.40x = 693,249.30 × 212,719.80
  4. Step 4: Simplify right side
    462,473.40x = 147,467,852,446.14
  5. Step 5: Solve for x
    x = 147,467,852,446.14/462,473.40
  6. Step 6: Final answer
    x = 318,867.75

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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.