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Finding the Fourth Proportional to 407,782.72, 611,674.50 and 155,003.80

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Solution

The fourth proportional to 407,782.72, 611,674.50 and 155,003.80 is: 232,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,782.72 : 611,674.50 = 155,003.80 : x
  2. Step 2: Convert to fraction form
    407,782.72/611,674.50 = 155,003.80/x
  3. Step 3: Cross multiply
    407,782.72x = 611,674.50 × 155,003.80
  4. Step 4: Simplify right side
    407,782.72x = 94,811,871,863.10
  5. Step 5: Solve for x
    x = 94,811,871,863.10/407,782.72
  6. Step 6: Final answer
    x = 232,505.86

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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.