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Finding the Fourth Proportional to 419,076.68, 578,064.66 and 255,658.52

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Solution

The fourth proportional to 419,076.68, 578,064.66 and 255,658.52 is: 352,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,076.68 : 578,064.66 = 255,658.52 : x
  2. Step 2: Convert to fraction form
    419,076.68/578,064.66 = 255,658.52/x
  3. Step 3: Cross multiply
    419,076.68x = 578,064.66 × 255,658.52
  4. Step 4: Simplify right side
    419,076.68x = 147,787,155,439.90
  5. Step 5: Solve for x
    x = 147,787,155,439.90/419,076.68
  6. Step 6: Final answer
    x = 352,649.44

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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.