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Finding the Fourth Proportional to 285,424.56, 393,886.40 and 158,097.42

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Solution

The fourth proportional to 285,424.56, 393,886.40 and 158,097.42 is: 218,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,424.56 : 393,886.40 = 158,097.42 : x
  2. Step 2: Convert to fraction form
    285,424.56/393,886.40 = 158,097.42/x
  3. Step 3: Cross multiply
    285,424.56x = 393,886.40 × 158,097.42
  4. Step 4: Simplify right side
    285,424.56x = 62,272,422,822.60
  5. Step 5: Solve for x
    x = 62,272,422,822.60/285,424.56
  6. Step 6: Final answer
    x = 218,174.72

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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.