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Finding the Fourth Proportional to 278,232, 383,960.16 and 159,000

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Solution

The fourth proportional to 278,232, 383,960.16 and 159,000 is: 219,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,232 : 383,960.16 = 159,000 : x
  2. Step 2: Convert to fraction form
    278,232/383,960.16 = 159,000/x
  3. Step 3: Cross multiply
    278,232x = 383,960.16 × 159,000
  4. Step 4: Simplify right side
    278,232x = 61,049,665,440.00
  5. Step 5: Solve for x
    x = 61,049,665,440.00/278,232
  6. Step 6: Final answer
    x = 219,420.00

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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.