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Finding the Fourth Proportional to 807,437.70, 1,212,140.70 and 407,872.80

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Solution

The fourth proportional to 807,437.70, 1,212,140.70 and 407,872.80 is: 612,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,437.70 : 1,212,140.70 = 407,872.80 : x
  2. Step 2: Convert to fraction form
    807,437.70/1,212,140.70 = 407,872.80/x
  3. Step 3: Cross multiply
    807,437.70x = 1,212,140.70 × 407,872.80
  4. Step 4: Simplify right side
    807,437.70x = 494,399,221,302.96
  5. Step 5: Solve for x
    x = 494,399,221,302.96/807,437.70
  6. Step 6: Final answer
    x = 612,306.34

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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.