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Finding the Fourth Proportional to 285,359.77, 393,800.61 and 164,498.86

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Solution

The fourth proportional to 285,359.77, 393,800.61 and 164,498.86 is: 227,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,359.77 : 393,800.61 = 164,498.86 : x
  2. Step 2: Convert to fraction form
    285,359.77/393,800.61 = 164,498.86/x
  3. Step 3: Cross multiply
    285,359.77x = 393,800.61 × 164,498.86
  4. Step 4: Simplify right side
    285,359.77x = 64,779,751,412.30
  5. Step 5: Solve for x
    x = 64,779,751,412.30/285,359.77
  6. Step 6: Final answer
    x = 227,010.81

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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.