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Finding the Fourth Proportional to 392,014.84, 587,952.13 and 103,828.46

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Solution

The fourth proportional to 392,014.84, 587,952.13 and 103,828.46 is: 155,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,014.84 : 587,952.13 = 103,828.46 : x
  2. Step 2: Convert to fraction form
    392,014.84/587,952.13 = 103,828.46/x
  3. Step 3: Cross multiply
    392,014.84x = 587,952.13 × 103,828.46
  4. Step 4: Simplify right side
    392,014.84x = 61,046,164,211.62
  5. Step 5: Solve for x
    x = 61,046,164,211.62/392,014.84
  6. Step 6: Final answer
    x = 155,724.12

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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.