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Finding the Fourth Proportional to 427,551.35, 589,763.78 and 282,358.46

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Solution

The fourth proportional to 427,551.35, 589,763.78 and 282,358.46 is: 389,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,551.35 : 589,763.78 = 282,358.46 : x
  2. Step 2: Convert to fraction form
    427,551.35/589,763.78 = 282,358.46/x
  3. Step 3: Cross multiply
    427,551.35x = 589,763.78 × 282,358.46
  4. Step 4: Simplify right side
    427,551.35x = 166,524,794,864.88
  5. Step 5: Solve for x
    x = 166,524,794,864.88/427,551.35
  6. Step 6: Final answer
    x = 389,484.90

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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.