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Finding the Fourth Proportional to 285,624, 393,996.96 and 178,142.40

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Solution

The fourth proportional to 285,624, 393,996.96 and 178,142.40 is: 245,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,624 : 393,996.96 = 178,142.40 : x
  2. Step 2: Convert to fraction form
    285,624/393,996.96 = 178,142.40/x
  3. Step 3: Cross multiply
    285,624x = 393,996.96 × 178,142.40
  4. Step 4: Simplify right side
    285,624x = 70,187,564,047.10
  5. Step 5: Solve for x
    x = 70,187,564,047.10/285,624
  6. Step 6: Final answer
    x = 245,734.13

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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.