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Finding the Fourth Proportional to 377,655.64, 521,171.42 and 205,578.55

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Solution

The fourth proportional to 377,655.64, 521,171.42 and 205,578.55 is: 283,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,655.64 : 521,171.42 = 205,578.55 : x
  2. Step 2: Convert to fraction form
    377,655.64/521,171.42 = 205,578.55/x
  3. Step 3: Cross multiply
    377,655.64x = 521,171.42 × 205,578.55
  4. Step 4: Simplify right side
    377,655.64x = 107,141,664,036.06
  5. Step 5: Solve for x
    x = 107,141,664,036.06/377,655.64
  6. Step 6: Final answer
    x = 283,702.01

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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.