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Finding the Fourth Proportional to 485,864.41, 728,111.56 and 229,423.38

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Solution

The fourth proportional to 485,864.41, 728,111.56 and 229,423.38 is: 343,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,864.41 : 728,111.56 = 229,423.38 : x
  2. Step 2: Convert to fraction form
    485,864.41/728,111.56 = 229,423.38/x
  3. Step 3: Cross multiply
    485,864.41x = 728,111.56 × 229,423.38
  4. Step 4: Simplify right side
    485,864.41x = 167,045,815,112.27
  5. Step 5: Solve for x
    x = 167,045,815,112.27/485,864.41
  6. Step 6: Final answer
    x = 343,811.59

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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.