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Finding the Fourth Proportional to 655,143.96, 982,715.64 and 181,829.18

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Solution

The fourth proportional to 655,143.96, 982,715.64 and 181,829.18 is: 272,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,143.96 : 982,715.64 = 181,829.18 : x
  2. Step 2: Convert to fraction form
    655,143.96/982,715.64 = 181,829.18/x
  3. Step 3: Cross multiply
    655,143.96x = 982,715.64 × 181,829.18
  4. Step 4: Simplify right side
    655,143.96x = 178,686,374,080.80
  5. Step 5: Solve for x
    x = 178,686,374,080.80/655,143.96
  6. Step 6: Final answer
    x = 272,743.68

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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.