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Finding the Fourth Proportional to 429,772.23, 644,046.93 and 316,562.04

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Solution

The fourth proportional to 429,772.23, 644,046.93 and 316,562.04 is: 474,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,772.23 : 644,046.93 = 316,562.04 : x
  2. Step 2: Convert to fraction form
    429,772.23/644,046.93 = 316,562.04/x
  3. Step 3: Cross multiply
    429,772.23x = 644,046.93 × 316,562.04
  4. Step 4: Simplify right side
    429,772.23x = 203,880,810,016.54
  5. Step 5: Solve for x
    x = 203,880,810,016.54/429,772.23
  6. Step 6: Final answer
    x = 474,392.70

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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.