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Finding the Fourth Proportional to 590,940.64, 815,508 and 322,668.64

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Solution

The fourth proportional to 590,940.64, 815,508 and 322,668.64 is: 445,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,940.64 : 815,508 = 322,668.64 : x
  2. Step 2: Convert to fraction form
    590,940.64/815,508 = 322,668.64/x
  3. Step 3: Cross multiply
    590,940.64x = 815,508 × 322,668.64
  4. Step 4: Simplify right side
    590,940.64x = 263,138,857,269.12
  5. Step 5: Solve for x
    x = 263,138,857,269.12/590,940.64
  6. Step 6: Final answer
    x = 445,288.14

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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.