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Finding the Fourth Proportional to 390,899, 585,356.10 and 327,552.54

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Solution

The fourth proportional to 390,899, 585,356.10 and 327,552.54 is: 490,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,899 : 585,356.10 = 327,552.54 : x
  2. Step 2: Convert to fraction form
    390,899/585,356.10 = 327,552.54/x
  3. Step 3: Cross multiply
    390,899x = 585,356.10 × 327,552.54
  4. Step 4: Simplify right side
    390,899x = 191,734,877,359.49
  5. Step 5: Solve for x
    x = 191,734,877,359.49/390,899
  6. Step 6: Final answer
    x = 490,497.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.