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Finding the Fourth Proportional to 384,438.89, 576,442.37 and 159,648.10

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Solution

The fourth proportional to 384,438.89, 576,442.37 and 159,648.10 is: 239,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,438.89 : 576,442.37 = 159,648.10 : x
  2. Step 2: Convert to fraction form
    384,438.89/576,442.37 = 159,648.10/x
  3. Step 3: Cross multiply
    384,438.89x = 576,442.37 × 159,648.10
  4. Step 4: Simplify right side
    384,438.89x = 92,027,928,088.01
  5. Step 5: Solve for x
    x = 92,027,928,088.01/384,438.89
  6. Step 6: Final answer
    x = 239,382.46

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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.