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Finding the Fourth Proportional to 309,894.32, 463,844.96 and 159,930.36

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Solution

The fourth proportional to 309,894.32, 463,844.96 and 159,930.36 is: 239,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,894.32 : 463,844.96 = 159,930.36 : x
  2. Step 2: Convert to fraction form
    309,894.32/463,844.96 = 159,930.36/x
  3. Step 3: Cross multiply
    309,894.32x = 463,844.96 × 159,930.36
  4. Step 4: Simplify right side
    309,894.32x = 74,182,891,436.99
  5. Step 5: Solve for x
    x = 74,182,891,436.99/309,894.32
  6. Step 6: Final answer
    x = 239,381.26

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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.