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Finding the Fourth Proportional to 278,519.52, 384,066 and 165,320.40

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Solution

The fourth proportional to 278,519.52, 384,066 and 165,320.40 is: 227,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,519.52 : 384,066 = 165,320.40 : x
  2. Step 2: Convert to fraction form
    278,519.52/384,066 = 165,320.40/x
  3. Step 3: Cross multiply
    278,519.52x = 384,066 × 165,320.40
  4. Step 4: Simplify right side
    278,519.52x = 63,493,944,746.40
  5. Step 5: Solve for x
    x = 63,493,944,746.40/278,519.52
  6. Step 6: Final answer
    x = 227,969.46

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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.