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Finding the Fourth Proportional to 224,431, 309,714.79 and 123,829

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Solution

The fourth proportional to 224,431, 309,714.79 and 123,829 is: 170,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,431 : 309,714.79 = 123,829 : x
  2. Step 2: Convert to fraction form
    224,431/309,714.79 = 123,829/x
  3. Step 3: Cross multiply
    224,431x = 309,714.79 × 123,829
  4. Step 4: Simplify right side
    224,431x = 38,351,672,730.91
  5. Step 5: Solve for x
    x = 38,351,672,730.91/224,431
  6. Step 6: Final answer
    x = 170,884.03

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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.