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Finding the Fourth Proportional to 491,435.42, 678,390.13 and 330,383.88

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Solution

The fourth proportional to 491,435.42, 678,390.13 and 330,383.88 is: 456,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,435.42 : 678,390.13 = 330,383.88 : x
  2. Step 2: Convert to fraction form
    491,435.42/678,390.13 = 330,383.88/x
  3. Step 3: Cross multiply
    491,435.42x = 678,390.13 × 330,383.88
  4. Step 4: Simplify right side
    491,435.42x = 224,129,163,303.10
  5. Step 5: Solve for x
    x = 224,129,163,303.10/491,435.42
  6. Step 6: Final answer
    x = 456,070.43

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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.