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Finding the Fourth Proportional to 340,941.80, 470,385.48 and 220,164.74

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Solution

The fourth proportional to 340,941.80, 470,385.48 and 220,164.74 is: 303,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,941.80 : 470,385.48 = 220,164.74 : x
  2. Step 2: Convert to fraction form
    340,941.80/470,385.48 = 220,164.74/x
  3. Step 3: Cross multiply
    340,941.80x = 470,385.48 × 220,164.74
  4. Step 4: Simplify right side
    340,941.80x = 103,562,296,903.98
  5. Step 5: Solve for x
    x = 103,562,296,903.98/340,941.80
  6. Step 6: Final answer
    x = 303,753.59

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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.