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Finding the Fourth Proportional to 429,832.32, 644,580 and 252,384

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Solution

The fourth proportional to 429,832.32, 644,580 and 252,384 is: 378,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,832.32 : 644,580 = 252,384 : x
  2. Step 2: Convert to fraction form
    429,832.32/644,580 = 252,384/x
  3. Step 3: Cross multiply
    429,832.32x = 644,580 × 252,384
  4. Step 4: Simplify right side
    429,832.32x = 162,681,678,720
  5. Step 5: Solve for x
    x = 162,681,678,720/429,832.32
  6. Step 6: Final answer
    x = 378,477.07

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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.