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Finding the Fourth Proportional to 429,274.56, 643,911.84 and 148,791.84

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Solution

The fourth proportional to 429,274.56, 643,911.84 and 148,791.84 is: 223,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,274.56 : 643,911.84 = 148,791.84 : x
  2. Step 2: Convert to fraction form
    429,274.56/643,911.84 = 148,791.84/x
  3. Step 3: Cross multiply
    429,274.56x = 643,911.84 × 148,791.84
  4. Step 4: Simplify right side
    429,274.56x = 95,808,827,471.39
  5. Step 5: Solve for x
    x = 95,808,827,471.39/429,274.56
  6. Step 6: Final answer
    x = 223,187.76

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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.