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Finding the Fourth Proportional to 559,171.54, 771,689.01 and 421,103.26

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Solution

The fourth proportional to 559,171.54, 771,689.01 and 421,103.26 is: 581,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,171.54 : 771,689.01 = 421,103.26 : x
  2. Step 2: Convert to fraction form
    559,171.54/771,689.01 = 421,103.26/x
  3. Step 3: Cross multiply
    559,171.54x = 771,689.01 × 421,103.26
  4. Step 4: Simplify right side
    559,171.54x = 324,960,757,817.17
  5. Step 5: Solve for x
    x = 324,960,757,817.17/559,171.54
  6. Step 6: Final answer
    x = 581,146.81

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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.