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Finding the Fourth Proportional to 429,393.24, 644,474.34 and 315,684.36

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Solution

The fourth proportional to 429,393.24, 644,474.34 and 315,684.36 is: 473,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,393.24 : 644,474.34 = 315,684.36 : x
  2. Step 2: Convert to fraction form
    429,393.24/644,474.34 = 315,684.36/x
  3. Step 3: Cross multiply
    429,393.24x = 644,474.34 × 315,684.36
  4. Step 4: Simplify right side
    429,393.24x = 203,450,469,559.32
  5. Step 5: Solve for x
    x = 203,450,469,559.32/429,393.24
  6. Step 6: Final answer
    x = 473,809.20

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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.