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Finding the Fourth Proportional to 611,829.76, 844,460.12 and 339,991.14

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Solution

The fourth proportional to 611,829.76, 844,460.12 and 339,991.14 is: 469,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,829.76 : 844,460.12 = 339,991.14 : x
  2. Step 2: Convert to fraction form
    611,829.76/844,460.12 = 339,991.14/x
  3. Step 3: Cross multiply
    611,829.76x = 844,460.12 × 339,991.14
  4. Step 4: Simplify right side
    611,829.76x = 287,108,958,883.34
  5. Step 5: Solve for x
    x = 287,108,958,883.34/611,829.76
  6. Step 6: Final answer
    x = 469,262.82

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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.