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Finding the Fourth Proportional to 511,338.72, 705,671.46 and 284,985.84

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Solution

The fourth proportional to 511,338.72, 705,671.46 and 284,985.84 is: 393,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,338.72 : 705,671.46 = 284,985.84 : x
  2. Step 2: Convert to fraction form
    511,338.72/705,671.46 = 284,985.84/x
  3. Step 3: Cross multiply
    511,338.72x = 705,671.46 × 284,985.84
  4. Step 4: Simplify right side
    511,338.72x = 201,106,373,792.13
  5. Step 5: Solve for x
    x = 201,106,373,792.13/511,338.72
  6. Step 6: Final answer
    x = 393,293.85

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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.