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Finding the Fourth Proportional to 427,541.55, 589,750.30 and 282,348.67

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Solution

The fourth proportional to 427,541.55, 589,750.30 and 282,348.67 is: 389,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,541.55 : 589,750.30 = 282,348.67 : x
  2. Step 2: Convert to fraction form
    427,541.55/589,750.30 = 282,348.67/x
  3. Step 3: Cross multiply
    427,541.55x = 589,750.30 × 282,348.67
  4. Step 4: Simplify right side
    427,541.55x = 166,515,211,425.36
  5. Step 5: Solve for x
    x = 166,515,211,425.36/427,541.55
  6. Step 6: Final answer
    x = 389,471.41

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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.