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Finding the Fourth Proportional to 285,227.42, 393,655.02 and 164,345.54

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Solution

The fourth proportional to 285,227.42, 393,655.02 and 164,345.54 is: 226,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,227.42 : 393,655.02 = 164,345.54 : x
  2. Step 2: Convert to fraction form
    285,227.42/393,655.02 = 164,345.54/x
  3. Step 3: Cross multiply
    285,227.42x = 393,655.02 × 164,345.54
  4. Step 4: Simplify right side
    285,227.42x = 64,695,446,835.61
  5. Step 5: Solve for x
    x = 64,695,446,835.61/285,227.42
  6. Step 6: Final answer
    x = 226,820.57

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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.