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Finding the Fourth Proportional to 340,809.35, 470,351.90 and 204,887.30

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Solution

The fourth proportional to 340,809.35, 470,351.90 and 204,887.30 is: 282,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,809.35 : 470,351.90 = 204,887.30 : x
  2. Step 2: Convert to fraction form
    340,809.35/470,351.90 = 204,887.30/x
  3. Step 3: Cross multiply
    340,809.35x = 470,351.90 × 204,887.30
  4. Step 4: Simplify right side
    340,809.35x = 96,369,130,840.87
  5. Step 5: Solve for x
    x = 96,369,130,840.87/340,809.35
  6. Step 6: Final answer
    x = 282,765.51

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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.