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Finding the Fourth Proportional to 650,633.82, 897,750.03 and 421,159.26

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Solution

The fourth proportional to 650,633.82, 897,750.03 and 421,159.26 is: 581,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,633.82 : 897,750.03 = 421,159.26 : x
  2. Step 2: Convert to fraction form
    650,633.82/897,750.03 = 421,159.26/x
  3. Step 3: Cross multiply
    650,633.82x = 897,750.03 × 421,159.26
  4. Step 4: Simplify right side
    650,633.82x = 378,095,743,245.69
  5. Step 5: Solve for x
    x = 378,095,743,245.69/650,633.82
  6. Step 6: Final answer
    x = 581,119.11

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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.