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Finding the Fourth Proportional to 655,419.47, 982,127.70 and 441,396

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Solution

The fourth proportional to 655,419.47, 982,127.70 and 441,396 is: 661,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,419.47 : 982,127.70 = 441,396 : x
  2. Step 2: Convert to fraction form
    655,419.47/982,127.70 = 441,396/x
  3. Step 3: Cross multiply
    655,419.47x = 982,127.70 × 441,396
  4. Step 4: Simplify right side
    655,419.47x = 433,507,238,269.20
  5. Step 5: Solve for x
    x = 433,507,238,269.20/655,419.47
  6. Step 6: Final answer
    x = 661,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.