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Finding the Fourth Proportional to 540,431.96, 810,310.92 and 203,459

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Solution

The fourth proportional to 540,431.96, 810,310.92 and 203,459 is: 305,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,431.96 : 810,310.92 = 203,459 : x
  2. Step 2: Convert to fraction form
    540,431.96/810,310.92 = 203,459/x
  3. Step 3: Cross multiply
    540,431.96x = 810,310.92 × 203,459
  4. Step 4: Simplify right side
    540,431.96x = 164,865,049,472.28
  5. Step 5: Solve for x
    x = 164,865,049,472.28/540,431.96
  6. Step 6: Final answer
    x = 305,061.62

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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.