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Finding the Fourth Proportional to 800,577, 1,104,830.82 and 442,881

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Solution

The fourth proportional to 800,577, 1,104,830.82 and 442,881 is: 611,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,577 : 1,104,830.82 = 442,881 : x
  2. Step 2: Convert to fraction form
    800,577/1,104,830.82 = 442,881/x
  3. Step 3: Cross multiply
    800,577x = 1,104,830.82 × 442,881
  4. Step 4: Simplify right side
    800,577x = 489,308,578,392.42
  5. Step 5: Solve for x
    x = 489,308,578,392.42/800,577
  6. Step 6: Final answer
    x = 611,194.90

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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.