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Finding the Fourth Proportional to 419,595.98, 579,256.89 and 284,344.52

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Solution

The fourth proportional to 419,595.98, 579,256.89 and 284,344.52 is: 392,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,595.98 : 579,256.89 = 284,344.52 : x
  2. Step 2: Convert to fraction form
    419,595.98/579,256.89 = 284,344.52/x
  3. Step 3: Cross multiply
    419,595.98x = 579,256.89 × 284,344.52
  4. Step 4: Simplify right side
    419,595.98x = 164,708,522,343.74
  5. Step 5: Solve for x
    x = 164,708,522,343.74/419,595.98
  6. Step 6: Final answer
    x = 392,540.75

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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.