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Finding the Fourth Proportional to 384,712.40, 576,377.40 and 329,416.40

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Solution

The fourth proportional to 384,712.40, 576,377.40 and 329,416.40 is: 493,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,712.40 : 576,377.40 = 329,416.40 : x
  2. Step 2: Convert to fraction form
    384,712.40/576,377.40 = 329,416.40/x
  3. Step 3: Cross multiply
    384,712.40x = 576,377.40 × 329,416.40
  4. Step 4: Simplify right side
    384,712.40x = 189,868,168,149.36
  5. Step 5: Solve for x
    x = 189,868,168,149.36/384,712.40
  6. Step 6: Final answer
    x = 493,532.75

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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.