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Finding the Fourth Proportional to 384,717.40, 576,384.90 and 329,421.40

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Solution

The fourth proportional to 384,717.40, 576,384.90 and 329,421.40 is: 493,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,717.40 : 576,384.90 = 329,421.40 : x
  2. Step 2: Convert to fraction form
    384,717.40/576,384.90 = 329,421.40/x
  3. Step 3: Cross multiply
    384,717.40x = 576,384.90 × 329,421.40
  4. Step 4: Simplify right side
    384,717.40x = 189,873,520,696.86
  5. Step 5: Solve for x
    x = 189,873,520,696.86/384,717.40
  6. Step 6: Final answer
    x = 493,540.25

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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.