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Finding the Fourth Proportional to 392,057.40, 588,016.09 and 249,479.45

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Solution

The fourth proportional to 392,057.40, 588,016.09 and 249,479.45 is: 374,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,057.40 : 588,016.09 = 249,479.45 : x
  2. Step 2: Convert to fraction form
    392,057.40/588,016.09 = 249,479.45/x
  3. Step 3: Cross multiply
    392,057.40x = 588,016.09 × 249,479.45
  4. Step 4: Simplify right side
    392,057.40x = 146,697,930,724.35
  5. Step 5: Solve for x
    x = 146,697,930,724.35/392,057.40
  6. Step 6: Final answer
    x = 374,174.63

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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.