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Finding the Fourth Proportional to 285,460.70, 393,935.79 and 158,144.49

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Solution

The fourth proportional to 285,460.70, 393,935.79 and 158,144.49 is: 218,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,460.70 : 393,935.79 = 158,144.49 : x
  2. Step 2: Convert to fraction form
    285,460.70/393,935.79 = 158,144.49/x
  3. Step 3: Cross multiply
    285,460.70x = 393,935.79 × 158,144.49
  4. Step 4: Simplify right side
    285,460.70x = 62,298,774,602.30
  5. Step 5: Solve for x
    x = 62,298,774,602.30/285,460.70
  6. Step 6: Final answer
    x = 218,239.41

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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.