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Finding the Fourth Proportional to 431,115.84, 646,969.32 and 150,633

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Solution

The fourth proportional to 431,115.84, 646,969.32 and 150,633 is: 226,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,115.84 : 646,969.32 = 150,633 : x
  2. Step 2: Convert to fraction form
    431,115.84/646,969.32 = 150,633/x
  3. Step 3: Cross multiply
    431,115.84x = 646,969.32 × 150,633
  4. Step 4: Simplify right side
    431,115.84x = 97,454,929,579.56
  5. Step 5: Solve for x
    x = 97,454,929,579.56/431,115.84
  6. Step 6: Final answer
    x = 226,052.77

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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.