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Finding the Fourth Proportional to 727,353, 1,003,741.61 and 421,422.89

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Solution

The fourth proportional to 727,353, 1,003,741.61 and 421,422.89 is: 581,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,353 : 1,003,741.61 = 421,422.89 : x
  2. Step 2: Convert to fraction form
    727,353/1,003,741.61 = 421,422.89/x
  3. Step 3: Cross multiply
    727,353x = 1,003,741.61 × 421,422.89
  4. Step 4: Simplify right side
    727,353x = 422,999,682,973.63
  5. Step 5: Solve for x
    x = 422,999,682,973.63/727,353
  6. Step 6: Final answer
    x = 581,560.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.