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Finding the Fourth Proportional to 419,909.40, 629,864.10 and 415,972.80

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Solution

The fourth proportional to 419,909.40, 629,864.10 and 415,972.80 is: 623,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,909.40 : 629,864.10 = 415,972.80 : x
  2. Step 2: Convert to fraction form
    419,909.40/629,864.10 = 415,972.80/x
  3. Step 3: Cross multiply
    419,909.40x = 629,864.10 × 415,972.80
  4. Step 4: Simplify right side
    419,909.40x = 262,006,333,296.48
  5. Step 5: Solve for x
    x = 262,006,333,296.48/419,909.40
  6. Step 6: Final answer
    x = 623,959.20

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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.