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Finding the Fourth Proportional to 361,584, 498,985.92 and 210,651.84

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Solution

The fourth proportional to 361,584, 498,985.92 and 210,651.84 is: 290,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,584 : 498,985.92 = 210,651.84 : x
  2. Step 2: Convert to fraction form
    361,584/498,985.92 = 210,651.84/x
  3. Step 3: Cross multiply
    361,584x = 498,985.92 × 210,651.84
  4. Step 4: Simplify right side
    361,584x = 105,112,302,182.09
  5. Step 5: Solve for x
    x = 105,112,302,182.09/361,584
  6. Step 6: Final answer
    x = 290,699.54

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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.