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Finding the Fourth Proportional to 559,114, 771,609.71 and 421,045.76

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Solution

The fourth proportional to 559,114, 771,609.71 and 421,045.76 is: 581,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,114 : 771,609.71 = 421,045.76 : x
  2. Step 2: Convert to fraction form
    559,114/771,609.71 = 421,045.76/x
  3. Step 3: Cross multiply
    559,114x = 771,609.71 × 421,045.76
  4. Step 4: Simplify right side
    559,114x = 324,882,996,770.33
  5. Step 5: Solve for x
    x = 324,882,996,770.33/559,114
  6. Step 6: Final answer
    x = 581,067.54

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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.