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Finding the Fourth Proportional to 285,330.80, 393,742.26 and 164,464.76

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Solution

The fourth proportional to 285,330.80, 393,742.26 and 164,464.76 is: 226,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,330.80 : 393,742.26 = 164,464.76 : x
  2. Step 2: Convert to fraction form
    285,330.80/393,742.26 = 164,464.76/x
  3. Step 3: Cross multiply
    285,330.80x = 393,742.26 × 164,464.76
  4. Step 4: Simplify right side
    285,330.80x = 64,756,724,324.05
  5. Step 5: Solve for x
    x = 64,756,724,324.05/285,330.80
  6. Step 6: Final answer
    x = 226,953.16

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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.