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Finding the Fourth Proportional to 278,766.80, 384,731.16 and 165,590

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Solution

The fourth proportional to 278,766.80, 384,731.16 and 165,590 is: 228,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,766.80 : 384,731.16 = 165,590 : x
  2. Step 2: Convert to fraction form
    278,766.80/384,731.16 = 165,590/x
  3. Step 3: Cross multiply
    278,766.80x = 384,731.16 × 165,590
  4. Step 4: Simplify right side
    278,766.80x = 63,707,632,784.40
  5. Step 5: Solve for x
    x = 63,707,632,784.40/278,766.80
  6. Step 6: Final answer
    x = 228,533.79

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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.