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Finding the Fourth Proportional to 429,541.08, 643,956.84 and 189,483.82

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Solution

The fourth proportional to 429,541.08, 643,956.84 and 189,483.82 is: 284,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,541.08 : 643,956.84 = 189,483.82 : x
  2. Step 2: Convert to fraction form
    429,541.08/643,956.84 = 189,483.82/x
  3. Step 3: Cross multiply
    429,541.08x = 643,956.84 × 189,483.82
  4. Step 4: Simplify right side
    429,541.08x = 122,019,401,958.33
  5. Step 5: Solve for x
    x = 122,019,401,958.33/429,541.08
  6. Step 6: Final answer
    x = 284,069.23

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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.