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Finding the Fourth Proportional to 682,730.21, 942,522.03 and 498,762.34

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Solution

The fourth proportional to 682,730.21, 942,522.03 and 498,762.34 is: 688,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,730.21 : 942,522.03 = 498,762.34 : x
  2. Step 2: Convert to fraction form
    682,730.21/942,522.03 = 498,762.34/x
  3. Step 3: Cross multiply
    682,730.21x = 942,522.03 × 498,762.34
  4. Step 4: Simplify right side
    682,730.21x = 470,094,485,977.93
  5. Step 5: Solve for x
    x = 470,094,485,977.93/682,730.21
  6. Step 6: Final answer
    x = 688,550.88

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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.