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Finding the Fourth Proportional to 319,522.64, 440,942.66 and 176,286.89

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Solution

The fourth proportional to 319,522.64, 440,942.66 and 176,286.89 is: 243,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,522.64 : 440,942.66 = 176,286.89 : x
  2. Step 2: Convert to fraction form
    319,522.64/440,942.66 = 176,286.89/x
  3. Step 3: Cross multiply
    319,522.64x = 440,942.66 × 176,286.89
  4. Step 4: Simplify right side
    319,522.64x = 77,732,407,113.58
  5. Step 5: Solve for x
    x = 77,732,407,113.58/319,522.64
  6. Step 6: Final answer
    x = 243,276.68

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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.