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Finding the Fourth Proportional to 493,340.70, 680,941.74 and 278,606.46

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Solution

The fourth proportional to 493,340.70, 680,941.74 and 278,606.46 is: 384,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,340.70 : 680,941.74 = 278,606.46 : x
  2. Step 2: Convert to fraction form
    493,340.70/680,941.74 = 278,606.46/x
  3. Step 3: Cross multiply
    493,340.70x = 680,941.74 × 278,606.46
  4. Step 4: Simplify right side
    493,340.70x = 189,714,767,647.64
  5. Step 5: Solve for x
    x = 189,714,767,647.64/493,340.70
  6. Step 6: Final answer
    x = 384,551.22

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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.