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Finding the Fourth Proportional to 393,691.64, 590,392.54 and 309,616.06

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Solution

The fourth proportional to 393,691.64, 590,392.54 and 309,616.06 is: 464,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,691.64 : 590,392.54 = 309,616.06 : x
  2. Step 2: Convert to fraction form
    393,691.64/590,392.54 = 309,616.06/x
  3. Step 3: Cross multiply
    393,691.64x = 590,392.54 × 309,616.06
  4. Step 4: Simplify right side
    393,691.64x = 182,795,012,088.19
  5. Step 5: Solve for x
    x = 182,795,012,088.19/393,691.64
  6. Step 6: Final answer
    x = 464,310.12

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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.