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Finding the Fourth Proportional to 392,782.45, 542,063 and 295,815.26

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Solution

The fourth proportional to 392,782.45, 542,063 and 295,815.26 is: 408,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,782.45 : 542,063 = 295,815.26 : x
  2. Step 2: Convert to fraction form
    392,782.45/542,063 = 295,815.26/x
  3. Step 3: Cross multiply
    392,782.45x = 542,063 × 295,815.26
  4. Step 4: Simplify right side
    392,782.45x = 160,350,507,281.38
  5. Step 5: Solve for x
    x = 160,350,507,281.38/392,782.45
  6. Step 6: Final answer
    x = 408,242.55

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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.