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Finding the Fourth Proportional to 419,203, 578,543.88 and 237,963.88

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Solution

The fourth proportional to 419,203, 578,543.88 and 237,963.88 is: 328,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,203 : 578,543.88 = 237,963.88 : x
  2. Step 2: Convert to fraction form
    419,203/578,543.88 = 237,963.88/x
  3. Step 3: Cross multiply
    419,203x = 578,543.88 × 237,963.88
  4. Step 4: Simplify right side
    419,203x = 137,672,546,435.05
  5. Step 5: Solve for x
    x = 137,672,546,435.05/419,203
  6. Step 6: Final answer
    x = 328,414.98

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1.5x scale

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.