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Finding the Fourth Proportional to 285,412.40, 393,868.14 and 164,553.02

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Solution

The fourth proportional to 285,412.40, 393,868.14 and 164,553.02 is: 227,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,412.40 : 393,868.14 = 164,553.02 : x
  2. Step 2: Convert to fraction form
    285,412.40/393,868.14 = 164,553.02/x
  3. Step 3: Cross multiply
    285,412.40x = 393,868.14 × 164,553.02
  4. Step 4: Simplify right side
    285,412.40x = 64,812,191,918.78
  5. Step 5: Solve for x
    x = 64,812,191,918.78/285,412.40
  6. Step 6: Final answer
    x = 227,082.61

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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.