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Finding the Fourth Proportional to 428,911.86, 642,711.69 and 229,260.63

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Solution

The fourth proportional to 428,911.86, 642,711.69 and 229,260.63 is: 343,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,911.86 : 642,711.69 = 229,260.63 : x
  2. Step 2: Convert to fraction form
    428,911.86/642,711.69 = 229,260.63/x
  3. Step 3: Cross multiply
    428,911.86x = 642,711.69 × 229,260.63
  4. Step 4: Simplify right side
    428,911.86x = 147,348,486,957.77
  5. Step 5: Solve for x
    x = 147,348,486,957.77/428,911.86
  6. Step 6: Final answer
    x = 343,540.25

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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.