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Finding the Fourth Proportional to 285,053.23, 427,646.34 and 82,653.56

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Solution

The fourth proportional to 285,053.23, 427,646.34 and 82,653.56 is: 123,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,053.23 : 427,646.34 = 82,653.56 : x
  2. Step 2: Convert to fraction form
    285,053.23/427,646.34 = 82,653.56/x
  3. Step 3: Cross multiply
    285,053.23x = 427,646.34 × 82,653.56
  4. Step 4: Simplify right side
    285,053.23x = 35,346,492,421.97
  5. Step 5: Solve for x
    x = 35,346,492,421.97/285,053.23
  6. Step 6: Final answer
    x = 123,999.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.