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Finding the Fourth Proportional to 285,899.59, 428,739.92 and 96,309.01

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Solution

The fourth proportional to 285,899.59, 428,739.92 and 96,309.01 is: 144,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,899.59 : 428,739.92 = 96,309.01 : x
  2. Step 2: Convert to fraction form
    285,899.59/428,739.92 = 96,309.01/x
  3. Step 3: Cross multiply
    285,899.59x = 428,739.92 × 96,309.01
  4. Step 4: Simplify right side
    285,899.59x = 41,291,514,617.43
  5. Step 5: Solve for x
    x = 41,291,514,617.43/285,899.59
  6. Step 6: Final answer
    x = 144,426.63

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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.