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Finding the Fourth Proportional to 429,676.34, 643,903.48 and 316,466.30

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Solution

The fourth proportional to 429,676.34, 643,903.48 and 316,466.30 is: 474,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,676.34 : 643,903.48 = 316,466.30 : x
  2. Step 2: Convert to fraction form
    429,676.34/643,903.48 = 316,466.30/x
  3. Step 3: Cross multiply
    429,676.34x = 643,903.48 × 316,466.30
  4. Step 4: Simplify right side
    429,676.34x = 203,773,751,872.72
  5. Step 5: Solve for x
    x = 203,773,751,872.72/429,676.34
  6. Step 6: Final answer
    x = 474,249.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.