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Finding the Fourth Proportional to 280,876.34, 387,559.52 and 166,159.81

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Solution

The fourth proportional to 280,876.34, 387,559.52 and 166,159.81 is: 229,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,876.34 : 387,559.52 = 166,159.81 : x
  2. Step 2: Convert to fraction form
    280,876.34/387,559.52 = 166,159.81/x
  3. Step 3: Cross multiply
    280,876.34x = 387,559.52 × 166,159.81
  4. Step 4: Simplify right side
    280,876.34x = 64,396,815,376.09
  5. Step 5: Solve for x
    x = 64,396,815,376.09/280,876.34
  6. Step 6: Final answer
    x = 229,271.06

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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.