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Finding the Fourth Proportional to 429,757.84, 644,642.70 and 114,213.16

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Solution

The fourth proportional to 429,757.84, 644,642.70 and 114,213.16 is: 171,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,757.84 : 644,642.70 = 114,213.16 : x
  2. Step 2: Convert to fraction form
    429,757.84/644,642.70 = 114,213.16/x
  3. Step 3: Cross multiply
    429,757.84x = 644,642.70 × 114,213.16
  4. Step 4: Simplify right side
    429,757.84x = 73,626,679,837.93
  5. Step 5: Solve for x
    x = 73,626,679,837.93/429,757.84
  6. Step 6: Final answer
    x = 171,321.32

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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.