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Finding the Fourth Proportional to 493,025.42, 680,361.27 and 278,185.47

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Solution

The fourth proportional to 493,025.42, 680,361.27 and 278,185.47 is: 383,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,025.42 : 680,361.27 = 278,185.47 : x
  2. Step 2: Convert to fraction form
    493,025.42/680,361.27 = 278,185.47/x
  3. Step 3: Cross multiply
    493,025.42x = 680,361.27 × 278,185.47
  4. Step 4: Simplify right side
    493,025.42x = 189,266,621,462.02
  5. Step 5: Solve for x
    x = 189,266,621,462.02/493,025.42
  6. Step 6: Final answer
    x = 383,888.16

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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.