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Finding the Fourth Proportional to 481,778.07, 722,480.19 and 257,015.82

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Solution

The fourth proportional to 481,778.07, 722,480.19 and 257,015.82 is: 385,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,778.07 : 722,480.19 = 257,015.82 : x
  2. Step 2: Convert to fraction form
    481,778.07/722,480.19 = 257,015.82/x
  3. Step 3: Cross multiply
    481,778.07x = 722,480.19 × 257,015.82
  4. Step 4: Simplify right side
    481,778.07x = 185,688,838,466.61
  5. Step 5: Solve for x
    x = 185,688,838,466.61/481,778.07
  6. Step 6: Final answer
    x = 385,424.02

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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.