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Finding the Fourth Proportional to 429,158.43, 643,737.65 and 228,872.03

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Solution

The fourth proportional to 429,158.43, 643,737.65 and 228,872.03 is: 343,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,158.43 : 643,737.65 = 228,872.03 : x
  2. Step 2: Convert to fraction form
    429,158.43/643,737.65 = 228,872.03/x
  3. Step 3: Cross multiply
    429,158.43x = 643,737.65 × 228,872.03
  4. Step 4: Simplify right side
    429,158.43x = 147,333,542,742.93
  5. Step 5: Solve for x
    x = 147,333,542,742.93/429,158.43
  6. Step 6: Final answer
    x = 343,308.05

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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.