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Finding the Fourth Proportional to 360,878.38, 497,957.24 and 205,831

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Solution

The fourth proportional to 360,878.38, 497,957.24 and 205,831 is: 284,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,878.38 : 497,957.24 = 205,831 : x
  2. Step 2: Convert to fraction form
    360,878.38/497,957.24 = 205,831/x
  3. Step 3: Cross multiply
    360,878.38x = 497,957.24 × 205,831
  4. Step 4: Simplify right side
    360,878.38x = 102,495,036,666.44
  5. Step 5: Solve for x
    x = 102,495,036,666.44/360,878.38
  6. Step 6: Final answer
    x = 284,015.45

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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.