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Finding the Fourth Proportional to 281,045.32, 387,856.74 and 166,389.80

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Solution

The fourth proportional to 281,045.32, 387,856.74 and 166,389.80 is: 229,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,045.32 : 387,856.74 = 166,389.80 : x
  2. Step 2: Convert to fraction form
    281,045.32/387,856.74 = 166,389.80/x
  3. Step 3: Cross multiply
    281,045.32x = 387,856.74 × 166,389.80
  4. Step 4: Simplify right side
    281,045.32x = 64,535,405,397.25
  5. Step 5: Solve for x
    x = 64,535,405,397.25/281,045.32
  6. Step 6: Final answer
    x = 229,626.33

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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.