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Finding the Fourth Proportional to 299,022.60, 412,713.60 and 289,542.36

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Solution

The fourth proportional to 299,022.60, 412,713.60 and 289,542.36 is: 399,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,022.60 : 412,713.60 = 289,542.36 : x
  2. Step 2: Convert to fraction form
    299,022.60/412,713.60 = 289,542.36/x
  3. Step 3: Cross multiply
    299,022.60x = 412,713.60 × 289,542.36
  4. Step 4: Simplify right side
    299,022.60x = 119,498,069,748.10
  5. Step 5: Solve for x
    x = 119,498,069,748.10/299,022.60
  6. Step 6: Final answer
    x = 399,628.89

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1.5x scale

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.