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Finding the Fourth Proportional to 413,929.05, 570,796.79 and 345,920.64

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Solution

The fourth proportional to 413,929.05, 570,796.79 and 345,920.64 is: 477,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,929.05 : 570,796.79 = 345,920.64 : x
  2. Step 2: Convert to fraction form
    413,929.05/570,796.79 = 345,920.64/x
  3. Step 3: Cross multiply
    413,929.05x = 570,796.79 × 345,920.64
  4. Step 4: Simplify right side
    413,929.05x = 197,450,389,177.14
  5. Step 5: Solve for x
    x = 197,450,389,177.14/413,929.05
  6. Step 6: Final answer
    x = 477,015.06

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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.