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Finding the Fourth Proportional to 493,803.19, 681,198.01 and 312,209.29

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Solution

The fourth proportional to 493,803.19, 681,198.01 and 312,209.29 is: 430,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,803.19 : 681,198.01 = 312,209.29 : x
  2. Step 2: Convert to fraction form
    493,803.19/681,198.01 = 312,209.29/x
  3. Step 3: Cross multiply
    493,803.19x = 681,198.01 × 312,209.29
  4. Step 4: Simplify right side
    493,803.19x = 212,676,347,051.51
  5. Step 5: Solve for x
    x = 212,676,347,051.51/493,803.19
  6. Step 6: Final answer
    x = 430,690.51

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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.