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Finding the Fourth Proportional to 384,711.90, 576,376.65 and 329,415.90

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Solution

The fourth proportional to 384,711.90, 576,376.65 and 329,415.90 is: 493,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,711.90 : 576,376.65 = 329,415.90 : x
  2. Step 2: Convert to fraction form
    384,711.90/576,376.65 = 329,415.90/x
  3. Step 3: Cross multiply
    384,711.90x = 576,376.65 × 329,415.90
  4. Step 4: Simplify right side
    384,711.90x = 189,867,632,898.74
  5. Step 5: Solve for x
    x = 189,867,632,898.74/384,711.90
  6. Step 6: Final answer
    x = 493,532.00

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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.