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Finding the Fourth Proportional to 708,536.50, 978,129.44 and 490,910.19

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Solution

The fourth proportional to 708,536.50, 978,129.44 and 490,910.19 is: 677,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,536.50 : 978,129.44 = 490,910.19 : x
  2. Step 2: Convert to fraction form
    708,536.50/978,129.44 = 490,910.19/x
  3. Step 3: Cross multiply
    708,536.50x = 978,129.44 × 490,910.19
  4. Step 4: Simplify right side
    708,536.50x = 480,173,709,234.99
  5. Step 5: Solve for x
    x = 480,173,709,234.99/708,536.50
  6. Step 6: Final answer
    x = 677,697.92

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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.