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Finding the Fourth Proportional to 429,382.94, 644,073.86 and 163,079.78

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Solution

The fourth proportional to 429,382.94, 644,073.86 and 163,079.78 is: 244,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,382.94 : 644,073.86 = 163,079.78 : x
  2. Step 2: Convert to fraction form
    429,382.94/644,073.86 = 163,079.78/x
  3. Step 3: Cross multiply
    429,382.94x = 644,073.86 × 163,079.78
  4. Step 4: Simplify right side
    429,382.94x = 105,035,420,579.88
  5. Step 5: Solve for x
    x = 105,035,420,579.88/429,382.94
  6. Step 6: Final answer
    x = 244,619.46

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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.