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Finding the Fourth Proportional to 559,096.34, 771,585.41 and 421,028.09

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Solution

The fourth proportional to 559,096.34, 771,585.41 and 421,028.09 is: 581,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,096.34 : 771,585.41 = 421,028.09 : x
  2. Step 2: Convert to fraction form
    559,096.34/771,585.41 = 421,028.09/x
  3. Step 3: Cross multiply
    559,096.34x = 771,585.41 × 421,028.09
  4. Step 4: Simplify right side
    559,096.34x = 324,859,125,481.10
  5. Step 5: Solve for x
    x = 324,859,125,481.10/559,096.34
  6. Step 6: Final answer
    x = 581,043.20

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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.