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Finding the Fourth Proportional to 461,540.70, 692,311.05 and 212,708.70

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Solution

The fourth proportional to 461,540.70, 692,311.05 and 212,708.70 is: 319,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,540.70 : 692,311.05 = 212,708.70 : x
  2. Step 2: Convert to fraction form
    461,540.70/692,311.05 = 212,708.70/x
  3. Step 3: Cross multiply
    461,540.70x = 692,311.05 × 212,708.70
  4. Step 4: Simplify right side
    461,540.70x = 147,260,583,441.14
  5. Step 5: Solve for x
    x = 147,260,583,441.14/461,540.70
  6. Step 6: Final answer
    x = 319,063.05

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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.