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Finding the Fourth Proportional to 642,389.40, 886,504.50 and 355,914

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Solution

The fourth proportional to 642,389.40, 886,504.50 and 355,914 is: 491,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,389.40 : 886,504.50 = 355,914 : x
  2. Step 2: Convert to fraction form
    642,389.40/886,504.50 = 355,914/x
  3. Step 3: Cross multiply
    642,389.40x = 886,504.50 × 355,914
  4. Step 4: Simplify right side
    642,389.40x = 315,519,362,613
  5. Step 5: Solve for x
    x = 315,519,362,613/642,389.40
  6. Step 6: Final answer
    x = 491,165.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.