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Finding the Fourth Proportional to 642,394.66, 886,493.14 and 355,909

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Solution

The fourth proportional to 642,394.66, 886,493.14 and 355,909 is: 491,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,394.66 : 886,493.14 = 355,909 : x
  2. Step 2: Convert to fraction form
    642,394.66/886,493.14 = 355,909/x
  3. Step 3: Cross multiply
    642,394.66x = 886,493.14 × 355,909
  4. Step 4: Simplify right side
    642,394.66x = 315,510,886,964.26
  5. Step 5: Solve for x
    x = 315,510,886,964.26/642,394.66
  6. Step 6: Final answer
    x = 491,148.05

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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.