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Finding the Fourth Proportional to 419,842.48, 579,360.72 and 238,529.20

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Solution

The fourth proportional to 419,842.48, 579,360.72 and 238,529.20 is: 329,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,842.48 : 579,360.72 = 238,529.20 : x
  2. Step 2: Convert to fraction form
    419,842.48/579,360.72 = 238,529.20/x
  3. Step 3: Cross multiply
    419,842.48x = 579,360.72 × 238,529.20
  4. Step 4: Simplify right side
    419,842.48x = 138,194,449,053.02
  5. Step 5: Solve for x
    x = 138,194,449,053.02/419,842.48
  6. Step 6: Final answer
    x = 329,157.85

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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.