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Finding the Fourth Proportional to 427,542.55, 589,751.67 and 282,349.67

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Solution

The fourth proportional to 427,542.55, 589,751.67 and 282,349.67 is: 389,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,542.55 : 589,751.67 = 282,349.67 : x
  2. Step 2: Convert to fraction form
    427,542.55/589,751.67 = 282,349.67/x
  3. Step 3: Cross multiply
    427,542.55x = 589,751.67 × 282,349.67
  4. Step 4: Simplify right side
    427,542.55x = 166,516,189,406.45
  5. Step 5: Solve for x
    x = 166,516,189,406.45/427,542.55
  6. Step 6: Final answer
    x = 389,472.79

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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.