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Finding the Fourth Proportional to 427,765.32, 641,518.38 and 178,389

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Solution

The fourth proportional to 427,765.32, 641,518.38 and 178,389 is: 267,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,765.32 : 641,518.38 = 178,389 : x
  2. Step 2: Convert to fraction form
    427,765.32/641,518.38 = 178,389/x
  3. Step 3: Cross multiply
    427,765.32x = 641,518.38 × 178,389
  4. Step 4: Simplify right side
    427,765.32x = 114,439,822,289.82
  5. Step 5: Solve for x
    x = 114,439,822,289.82/427,765.32
  6. Step 6: Final answer
    x = 267,529.45

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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.