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Finding the Fourth Proportional to 590,940, 815,499.36 and 322,668

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Solution

The fourth proportional to 590,940, 815,499.36 and 322,668 is: 445,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,940 : 815,499.36 = 322,668 : x
  2. Step 2: Convert to fraction form
    590,940/815,499.36 = 322,668/x
  3. Step 3: Cross multiply
    590,940x = 815,499.36 × 322,668
  4. Step 4: Simplify right side
    590,940x = 263,135,547,492.48
  5. Step 5: Solve for x
    x = 263,135,547,492.48/590,940
  6. Step 6: Final answer
    x = 445,283.02

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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.