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Finding the Fourth Proportional to 429,787.51, 644,597.88 and 408,450.59

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Solution

The fourth proportional to 429,787.51, 644,597.88 and 408,450.59 is: 612,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,787.51 : 644,597.88 = 408,450.59 : x
  2. Step 2: Convert to fraction form
    429,787.51/644,597.88 = 408,450.59/x
  3. Step 3: Cross multiply
    429,787.51x = 644,597.88 × 408,450.59
  4. Step 4: Simplify right side
    429,787.51x = 263,286,384,398.75
  5. Step 5: Solve for x
    x = 263,286,384,398.75/429,787.51
  6. Step 6: Final answer
    x = 612,596.64

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1.5x scale

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.