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Finding the Fourth Proportional to 285,458.64, 393,956.96 and 158,146.08

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Solution

The fourth proportional to 285,458.64, 393,956.96 and 158,146.08 is: 218,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,458.64 : 393,956.96 = 158,146.08 : x
  2. Step 2: Convert to fraction form
    285,458.64/393,956.96 = 158,146.08/x
  3. Step 3: Cross multiply
    285,458.64x = 393,956.96 × 158,146.08
  4. Step 4: Simplify right side
    285,458.64x = 62,302,748,912.72
  5. Step 5: Solve for x
    x = 62,302,748,912.72/285,458.64
  6. Step 6: Final answer
    x = 218,254.91

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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.