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Finding the Fourth Proportional to 491,438.48, 678,394.34 and 330,386.94

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Solution

The fourth proportional to 491,438.48, 678,394.34 and 330,386.94 is: 456,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,438.48 : 678,394.34 = 330,386.94 : x
  2. Step 2: Convert to fraction form
    491,438.48/678,394.34 = 330,386.94/x
  3. Step 3: Cross multiply
    491,438.48x = 678,394.34 × 330,386.94
  4. Step 4: Simplify right side
    491,438.48x = 224,132,630,105.92
  5. Step 5: Solve for x
    x = 224,132,630,105.92/491,438.48
  6. Step 6: Final answer
    x = 456,074.64

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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.