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Finding the Fourth Proportional to 419,595.48, 579,256.20 and 284,344.02

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Solution

The fourth proportional to 419,595.48, 579,256.20 and 284,344.02 is: 392,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,595.48 : 579,256.20 = 284,344.02 : x
  2. Step 2: Convert to fraction form
    419,595.48/579,256.20 = 284,344.02/x
  3. Step 3: Cross multiply
    419,595.48x = 579,256.20 × 284,344.02
  4. Step 4: Simplify right side
    419,595.48x = 164,708,036,517.92
  5. Step 5: Solve for x
    x = 164,708,036,517.92/419,595.48
  6. Step 6: Final answer
    x = 392,540.06

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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.