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Finding the Fourth Proportional to 392,015.84, 587,953.62 and 103,829.45

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Solution

The fourth proportional to 392,015.84, 587,953.62 and 103,829.45 is: 155,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,015.84 : 587,953.62 = 103,829.45 : x
  2. Step 2: Convert to fraction form
    392,015.84/587,953.62 = 103,829.45/x
  3. Step 3: Cross multiply
    392,015.84x = 587,953.62 × 103,829.45
  4. Step 4: Simplify right side
    392,015.84x = 61,046,902,459.99
  5. Step 5: Solve for x
    x = 61,046,902,459.99/392,015.84
  6. Step 6: Final answer
    x = 155,725.60

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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.