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Finding the Fourth Proportional to 457,855.40, 685,227.90 and 401,868.20

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Solution

The fourth proportional to 457,855.40, 685,227.90 and 401,868.20 is: 601,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,855.40 : 685,227.90 = 401,868.20 : x
  2. Step 2: Convert to fraction form
    457,855.40/685,227.90 = 401,868.20/x
  3. Step 3: Cross multiply
    457,855.40x = 685,227.90 × 401,868.20
  4. Step 4: Simplify right side
    457,855.40x = 275,371,302,762.78
  5. Step 5: Solve for x
    x = 275,371,302,762.78/457,855.40
  6. Step 6: Final answer
    x = 601,437.27

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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.