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Finding the Fourth Proportional to 464,611.96, 639,969.87 and 328,411.75

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Solution

The fourth proportional to 464,611.96, 639,969.87 and 328,411.75 is: 452,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,611.96 : 639,969.87 = 328,411.75 : x
  2. Step 2: Convert to fraction form
    464,611.96/639,969.87 = 328,411.75/x
  3. Step 3: Cross multiply
    464,611.96x = 639,969.87 × 328,411.75
  4. Step 4: Simplify right side
    464,611.96x = 210,173,626,635.88
  5. Step 5: Solve for x
    x = 210,173,626,635.88/464,611.96
  6. Step 6: Final answer
    x = 452,363.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.