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Finding the Fourth Proportional to 412,436.61, 618,728.36 and 212,703.03

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Solution

The fourth proportional to 412,436.61, 618,728.36 and 212,703.03 is: 319,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,436.61 : 618,728.36 = 212,703.03 : x
  2. Step 2: Convert to fraction form
    412,436.61/618,728.36 = 212,703.03/x
  3. Step 3: Cross multiply
    412,436.61x = 618,728.36 × 212,703.03
  4. Step 4: Simplify right side
    412,436.61x = 131,605,395,855.42
  5. Step 5: Solve for x
    x = 131,605,395,855.42/412,436.61
  6. Step 6: Final answer
    x = 319,092.42

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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.