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Finding the Fourth Proportional to 559,119.26, 771,616.98 and 421,051

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Solution

The fourth proportional to 559,119.26, 771,616.98 and 421,051 is: 581,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,119.26 : 771,616.98 = 421,051 : x
  2. Step 2: Convert to fraction form
    559,119.26/771,616.98 = 421,051/x
  3. Step 3: Cross multiply
    559,119.26x = 771,616.98 × 421,051
  4. Step 4: Simplify right side
    559,119.26x = 324,890,101,045.98
  5. Step 5: Solve for x
    x = 324,890,101,045.98/559,119.26
  6. Step 6: Final answer
    x = 581,074.78

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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.