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Finding the Fourth Proportional to 465,677.75, 697,884.93 and 212,644.55

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Solution

The fourth proportional to 465,677.75, 697,884.93 and 212,644.55 is: 318,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,677.75 : 697,884.93 = 212,644.55 : x
  2. Step 2: Convert to fraction form
    465,677.75/697,884.93 = 212,644.55/x
  3. Step 3: Cross multiply
    465,677.75x = 697,884.93 × 212,644.55
  4. Step 4: Simplify right side
    465,677.75x = 148,401,428,636.34
  5. Step 5: Solve for x
    x = 148,401,428,636.34/465,677.75
  6. Step 6: Final answer
    x = 318,678.37

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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.