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Finding the Fourth Proportional to 392,820.54, 542,138.31 and 220,738.74

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Solution

The fourth proportional to 392,820.54, 542,138.31 and 220,738.74 is: 304,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,820.54 : 542,138.31 = 220,738.74 : x
  2. Step 2: Convert to fraction form
    392,820.54/542,138.31 = 220,738.74/x
  3. Step 3: Cross multiply
    392,820.54x = 542,138.31 × 220,738.74
  4. Step 4: Simplify right side
    392,820.54x = 119,670,927,455.13
  5. Step 5: Solve for x
    x = 119,670,927,455.13/392,820.54
  6. Step 6: Final answer
    x = 304,645.29

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1.5x scale

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.