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Finding the Fourth Proportional to 392,792.90, 542,012.11 and 263,705.22

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Solution

The fourth proportional to 392,792.90, 542,012.11 and 263,705.22 is: 363,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,792.90 : 542,012.11 = 263,705.22 : x
  2. Step 2: Convert to fraction form
    392,792.90/542,012.11 = 263,705.22/x
  3. Step 3: Cross multiply
    392,792.90x = 542,012.11 × 263,705.22
  4. Step 4: Simplify right side
    392,792.90x = 142,931,422,050.95
  5. Step 5: Solve for x
    x = 142,931,422,050.95/392,792.90
  6. Step 6: Final answer
    x = 363,884.95

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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.