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Finding the Fourth Proportional to 491,438.10, 678,393.83 and 330,386.57

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Solution

The fourth proportional to 491,438.10, 678,393.83 and 330,386.57 is: 456,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,438.10 : 678,393.83 = 330,386.57 : x
  2. Step 2: Convert to fraction form
    491,438.10/678,393.83 = 330,386.57/x
  3. Step 3: Cross multiply
    491,438.10x = 678,393.83 × 330,386.57
  4. Step 4: Simplify right side
    491,438.10x = 224,132,205,558.96
  5. Step 5: Solve for x
    x = 224,132,205,558.96/491,438.10
  6. Step 6: Final answer
    x = 456,074.13

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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.