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Finding the Fourth Proportional to 285,419.30, 428,043.59 and 178,964.94

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Solution

The fourth proportional to 285,419.30, 428,043.59 and 178,964.94 is: 268,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,419.30 : 428,043.59 = 178,964.94 : x
  2. Step 2: Convert to fraction form
    285,419.30/428,043.59 = 178,964.94/x
  3. Step 3: Cross multiply
    285,419.30x = 428,043.59 × 178,964.94
  4. Step 4: Simplify right side
    285,419.30x = 76,604,796,783.19
  5. Step 5: Solve for x
    x = 76,604,796,783.19/285,419.30
  6. Step 6: Final answer
    x = 268,393.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.