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Finding the Fourth Proportional to 642,333.40, 886,427.22 and 355,858

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Solution

The fourth proportional to 642,333.40, 886,427.22 and 355,858 is: 491,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,333.40 : 886,427.22 = 355,858 : x
  2. Step 2: Convert to fraction form
    642,333.40/886,427.22 = 355,858/x
  3. Step 3: Cross multiply
    642,333.40x = 886,427.22 × 355,858
  4. Step 4: Simplify right side
    642,333.40x = 315,442,217,654.76
  5. Step 5: Solve for x
    x = 315,442,217,654.76/642,333.40
  6. Step 6: Final answer
    x = 491,087.99

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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.