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Finding the Fourth Proportional to 392,017.85, 587,510.09 and 155,231.36

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Solution

The fourth proportional to 392,017.85, 587,510.09 and 155,231.36 is: 232,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,017.85 : 587,510.09 = 155,231.36 : x
  2. Step 2: Convert to fraction form
    392,017.85/587,510.09 = 155,231.36/x
  3. Step 3: Cross multiply
    392,017.85x = 587,510.09 × 155,231.36
  4. Step 4: Simplify right side
    392,017.85x = 91,199,990,284.42
  5. Step 5: Solve for x
    x = 91,199,990,284.42/392,017.85
  6. Step 6: Final answer
    x = 232,642.44

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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.