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Finding the Fourth Proportional to 384,958.40, 576,746.40 and 329,662.40

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Solution

The fourth proportional to 384,958.40, 576,746.40 and 329,662.40 is: 493,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,958.40 : 576,746.40 = 329,662.40 : x
  2. Step 2: Convert to fraction form
    384,958.40/576,746.40 = 329,662.40/x
  3. Step 3: Cross multiply
    384,958.40x = 576,746.40 × 329,662.40
  4. Step 4: Simplify right side
    384,958.40x = 190,131,602,415.36
  5. Step 5: Solve for x
    x = 190,131,602,415.36/384,958.40
  6. Step 6: Final answer
    x = 493,901.69

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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.