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Finding the Fourth Proportional to 363,128.94, 501,181.63 and 210,142.82

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Solution

The fourth proportional to 363,128.94, 501,181.63 and 210,142.82 is: 290,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,128.94 : 501,181.63 = 210,142.82 : x
  2. Step 2: Convert to fraction form
    363,128.94/501,181.63 = 210,142.82/x
  3. Step 3: Cross multiply
    363,128.94x = 501,181.63 × 210,142.82
  4. Step 4: Simplify right side
    363,128.94x = 105,319,721,787.99
  5. Step 5: Solve for x
    x = 105,319,721,787.99/363,128.94
  6. Step 6: Final answer
    x = 290,033.95

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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.