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Finding the Fourth Proportional to 493,707.10, 680,847.78 and 340,500.46

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Solution

The fourth proportional to 493,707.10, 680,847.78 and 340,500.46 is: 469,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,707.10 : 680,847.78 = 340,500.46 : x
  2. Step 2: Convert to fraction form
    493,707.10/680,847.78 = 340,500.46/x
  3. Step 3: Cross multiply
    493,707.10x = 680,847.78 × 340,500.46
  4. Step 4: Simplify right side
    493,707.10x = 231,828,982,279.98
  5. Step 5: Solve for x
    x = 231,828,982,279.98/493,707.10
  6. Step 6: Final answer
    x = 469,567.85

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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.