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Finding the Fourth Proportional to 418,043.55, 576,815.43 and 254,590.50

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Solution

The fourth proportional to 418,043.55, 576,815.43 and 254,590.50 is: 351,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,043.55 : 576,815.43 = 254,590.50 : x
  2. Step 2: Convert to fraction form
    418,043.55/576,815.43 = 254,590.50/x
  3. Step 3: Cross multiply
    418,043.55x = 576,815.43 × 254,590.50
  4. Step 4: Simplify right side
    418,043.55x = 146,851,728,731.42
  5. Step 5: Solve for x
    x = 146,851,728,731.42/418,043.55
  6. Step 6: Final answer
    x = 351,283.33

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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.