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Finding the Fourth Proportional to 384,438.51, 576,441.81 and 159,647.73

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Solution

The fourth proportional to 384,438.51, 576,441.81 and 159,647.73 is: 239,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,438.51 : 576,441.81 = 159,647.73 : x
  2. Step 2: Convert to fraction form
    384,438.51/576,441.81 = 159,647.73/x
  3. Step 3: Cross multiply
    384,438.51x = 576,441.81 × 159,647.73
  4. Step 4: Simplify right side
    384,438.51x = 92,027,626,443.59
  5. Step 5: Solve for x
    x = 92,027,626,443.59/384,438.51
  6. Step 6: Final answer
    x = 239,381.91

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1.5x scale

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.