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Finding the Fourth Proportional to 285,360.78, 393,802 and 164,499.86

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Solution

The fourth proportional to 285,360.78, 393,802 and 164,499.86 is: 227,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360.78 : 393,802 = 164,499.86 : x
  2. Step 2: Convert to fraction form
    285,360.78/393,802 = 164,499.86/x
  3. Step 3: Cross multiply
    285,360.78x = 393,802 × 164,499.86
  4. Step 4: Simplify right side
    285,360.78x = 64,780,373,867.72
  5. Step 5: Solve for x
    x = 64,780,373,867.72/285,360.78
  6. Step 6: Final answer
    x = 227,012.18

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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.