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Finding the Fourth Proportional to 431,389.44, 647,176.32 and 150,915.84

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Solution

The fourth proportional to 431,389.44, 647,176.32 and 150,915.84 is: 226,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,389.44 : 647,176.32 = 150,915.84 : x
  2. Step 2: Convert to fraction form
    431,389.44/647,176.32 = 150,915.84/x
  3. Step 3: Cross multiply
    431,389.44x = 647,176.32 × 150,915.84
  4. Step 4: Simplify right side
    431,389.44x = 97,669,157,960.91
  5. Step 5: Solve for x
    x = 97,669,157,960.91/431,389.44
  6. Step 6: Final answer
    x = 226,406.00

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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.