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Finding the Fourth Proportional to 329,574, 494,360.68 and 285,068.44

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Solution

The fourth proportional to 329,574, 494,360.68 and 285,068.44 is: 427,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,574 : 494,360.68 = 285,068.44 : x
  2. Step 2: Convert to fraction form
    329,574/494,360.68 = 285,068.44/x
  3. Step 3: Cross multiply
    329,574x = 494,360.68 × 285,068.44
  4. Step 4: Simplify right side
    329,574x = 140,926,627,844.94
  5. Step 5: Solve for x
    x = 140,926,627,844.94/329,574
  6. Step 6: Final answer
    x = 427,602.38

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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.