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Finding the Fourth Proportional to 429,671.67, 644,523.71 and 163,382.55

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Solution

The fourth proportional to 429,671.67, 644,523.71 and 163,382.55 is: 245,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,671.67 : 644,523.71 = 163,382.55 : x
  2. Step 2: Convert to fraction form
    429,671.67/644,523.71 = 163,382.55/x
  3. Step 3: Cross multiply
    429,671.67x = 644,523.71 × 163,382.55
  4. Step 4: Simplify right side
    429,671.67x = 105,303,926,458.35
  5. Step 5: Solve for x
    x = 105,303,926,458.35/429,671.67
  6. Step 6: Final answer
    x = 245,079.99

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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.