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Finding the Fourth Proportional to 449,077.93, 618,674.84 and 312,865.50

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Solution

The fourth proportional to 449,077.93, 618,674.84 and 312,865.50 is: 431,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,077.93 : 618,674.84 = 312,865.50 : x
  2. Step 2: Convert to fraction form
    449,077.93/618,674.84 = 312,865.50/x
  3. Step 3: Cross multiply
    449,077.93x = 618,674.84 × 312,865.50
  4. Step 4: Simplify right side
    449,077.93x = 193,562,008,496.32
  5. Step 5: Solve for x
    x = 193,562,008,496.32/449,077.93
  6. Step 6: Final answer
    x = 431,020.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.