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Finding the Fourth Proportional to 283,174.28, 390,780.50 and 155,849.87

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Solution

The fourth proportional to 283,174.28, 390,780.50 and 155,849.87 is: 215,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,174.28 : 390,780.50 = 155,849.87 : x
  2. Step 2: Convert to fraction form
    283,174.28/390,780.50 = 155,849.87/x
  3. Step 3: Cross multiply
    283,174.28x = 390,780.50 × 155,849.87
  4. Step 4: Simplify right side
    283,174.28x = 60,903,091,197.89
  5. Step 5: Solve for x
    x = 60,903,091,197.89/283,174.28
  6. Step 6: Final answer
    x = 215,072.82

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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.