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Finding the Fourth Proportional to 491,441.19, 678,398.07 and 330,389.63

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Solution

The fourth proportional to 491,441.19, 678,398.07 and 330,389.63 is: 456,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,441.19 : 678,398.07 = 330,389.63 : x
  2. Step 2: Convert to fraction form
    491,441.19/678,398.07 = 330,389.63/x
  3. Step 3: Cross multiply
    491,441.19x = 678,398.07 × 330,389.63
  4. Step 4: Simplify right side
    491,441.19x = 224,135,683,948.02
  5. Step 5: Solve for x
    x = 224,135,683,948.02/491,441.19
  6. Step 6: Final answer
    x = 456,078.34

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1.5x scale

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.