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Finding the Fourth Proportional to 429,468.48, 644,115.24 and 163,135.62

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Solution

The fourth proportional to 429,468.48, 644,115.24 and 163,135.62 is: 244,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,468.48 : 644,115.24 = 163,135.62 : x
  2. Step 2: Convert to fraction form
    429,468.48/644,115.24 = 163,135.62/x
  3. Step 3: Cross multiply
    429,468.48x = 644,115.24 × 163,135.62
  4. Step 4: Simplify right side
    429,468.48x = 105,078,139,028.85
  5. Step 5: Solve for x
    x = 105,078,139,028.85/429,468.48
  6. Step 6: Final answer
    x = 244,670.20

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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.