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Finding the Fourth Proportional to 559,095.84, 771,584.72 and 421,027.59

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Solution

The fourth proportional to 559,095.84, 771,584.72 and 421,027.59 is: 581,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,095.84 : 771,584.72 = 421,027.59 : x
  2. Step 2: Convert to fraction form
    559,095.84/771,584.72 = 421,027.59/x
  3. Step 3: Cross multiply
    559,095.84x = 771,584.72 × 421,027.59
  4. Step 4: Simplify right side
    559,095.84x = 324,858,455,142.43
  5. Step 5: Solve for x
    x = 324,858,455,142.43/559,095.84
  6. Step 6: Final answer
    x = 581,042.52

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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.