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Finding the Fourth Proportional to 428,146.92, 642,092.40 and 268,465.41

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Solution

The fourth proportional to 428,146.92, 642,092.40 and 268,465.41 is: 402,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,146.92 : 642,092.40 = 268,465.41 : x
  2. Step 2: Convert to fraction form
    428,146.92/642,092.40 = 268,465.41/x
  3. Step 3: Cross multiply
    428,146.92x = 642,092.40 × 268,465.41
  4. Step 4: Simplify right side
    428,146.92x = 172,379,599,423.88
  5. Step 5: Solve for x
    x = 172,379,599,423.88/428,146.92
  6. Step 6: Final answer
    x = 402,617.87

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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.