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Finding the Fourth Proportional to 283,543.56, 425,800.71 and 189,378.81

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Solution

The fourth proportional to 283,543.56, 425,800.71 and 189,378.81 is: 284,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,543.56 : 425,800.71 = 189,378.81 : x
  2. Step 2: Convert to fraction form
    283,543.56/425,800.71 = 189,378.81/x
  3. Step 3: Cross multiply
    283,543.56x = 425,800.71 × 189,378.81
  4. Step 4: Simplify right side
    283,543.56x = 80,637,631,756.96
  5. Step 5: Solve for x
    x = 80,637,631,756.96/283,543.56
  6. Step 6: Final answer
    x = 284,392.39

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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.