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Finding the Fourth Proportional to 429,231.66, 643,859.79 and 113,688.56

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Solution

The fourth proportional to 429,231.66, 643,859.79 and 113,688.56 is: 170,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,231.66 : 643,859.79 = 113,688.56 : x
  2. Step 2: Convert to fraction form
    429,231.66/643,859.79 = 113,688.56/x
  3. Step 3: Cross multiply
    429,231.66x = 643,859.79 × 113,688.56
  4. Step 4: Simplify right side
    429,231.66x = 73,199,493,550.32
  5. Step 5: Solve for x
    x = 73,199,493,550.32/429,231.66
  6. Step 6: Final answer
    x = 170,536.10

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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.