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Finding the Fourth Proportional to 285,654.61, 394,189.77 and 164,834.74

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Solution

The fourth proportional to 285,654.61, 394,189.77 and 164,834.74 is: 227,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,654.61 : 394,189.77 = 164,834.74 : x
  2. Step 2: Convert to fraction form
    285,654.61/394,189.77 = 164,834.74/x
  3. Step 3: Cross multiply
    285,654.61x = 394,189.77 × 164,834.74
  4. Step 4: Simplify right side
    285,654.61x = 64,976,168,248.61
  5. Step 5: Solve for x
    x = 64,976,168,248.61/285,654.61
  6. Step 6: Final answer
    x = 227,464.10

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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.