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Finding the Fourth Proportional to 413,048.70, 618,795.45 and 212,687.10

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Solution

The fourth proportional to 413,048.70, 618,795.45 and 212,687.10 is: 318,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,048.70 : 618,795.45 = 212,687.10 : x
  2. Step 2: Convert to fraction form
    413,048.70/618,795.45 = 212,687.10/x
  3. Step 3: Cross multiply
    413,048.70x = 618,795.45 × 212,687.10
  4. Step 4: Simplify right side
    413,048.70x = 131,609,809,753.70
  5. Step 5: Solve for x
    x = 131,609,809,753.70/413,048.70
  6. Step 6: Final answer
    x = 318,630.25

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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.