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Finding the Fourth Proportional to 392,407.40, 587,444.70 and 259,437.80

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Solution

The fourth proportional to 392,407.40, 587,444.70 and 259,437.80 is: 388,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,407.40 : 587,444.70 = 259,437.80 : x
  2. Step 2: Convert to fraction form
    392,407.40/587,444.70 = 259,437.80/x
  3. Step 3: Cross multiply
    392,407.40x = 587,444.70 × 259,437.80
  4. Step 4: Simplify right side
    392,407.40x = 152,405,360,589.66
  5. Step 5: Solve for x
    x = 152,405,360,589.66/392,407.40
  6. Step 6: Final answer
    x = 388,385.54

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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.