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Finding the Fourth Proportional to 429,521.10, 644,281.65 and 419,679.60

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Solution

The fourth proportional to 429,521.10, 644,281.65 and 419,679.60 is: 629,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,521.10 : 644,281.65 = 419,679.60 : x
  2. Step 2: Convert to fraction form
    429,521.10/644,281.65 = 419,679.60/x
  3. Step 3: Cross multiply
    429,521.10x = 644,281.65 × 419,679.60
  4. Step 4: Simplify right side
    429,521.10x = 270,391,865,159.34
  5. Step 5: Solve for x
    x = 270,391,865,159.34/429,521.10
  6. Step 6: Final answer
    x = 629,519.40

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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.