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Finding the Fourth Proportional to 485,864.28, 728,111.34 and 229,423.24

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Solution

The fourth proportional to 485,864.28, 728,111.34 and 229,423.24 is: 343,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,864.28 : 728,111.34 = 229,423.24 : x
  2. Step 2: Convert to fraction form
    485,864.28/728,111.34 = 229,423.24/x
  3. Step 3: Cross multiply
    485,864.28x = 728,111.34 × 229,423.24
  4. Step 4: Simplify right side
    485,864.28x = 167,045,662,703.54
  5. Step 5: Solve for x
    x = 167,045,662,703.54/485,864.28
  6. Step 6: Final answer
    x = 343,811.37

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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.