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Finding the Fourth Proportional to 392,778.68, 542,057.81 and 295,811.51

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Solution

The fourth proportional to 392,778.68, 542,057.81 and 295,811.51 is: 408,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,778.68 : 542,057.81 = 295,811.51 : x
  2. Step 2: Convert to fraction form
    392,778.68/542,057.81 = 295,811.51/x
  3. Step 3: Cross multiply
    392,778.68x = 542,057.81 × 295,811.51
  4. Step 4: Simplify right side
    392,778.68x = 160,346,939,283.39
  5. Step 5: Solve for x
    x = 160,346,939,283.39/392,778.68
  6. Step 6: Final answer
    x = 408,237.38

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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.