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Finding the Fourth Proportional to 540,270.42, 809,842.48 and 203,078.76

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Solution

The fourth proportional to 540,270.42, 809,842.48 and 203,078.76 is: 304,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,270.42 : 809,842.48 = 203,078.76 : x
  2. Step 2: Convert to fraction form
    540,270.42/809,842.48 = 203,078.76/x
  3. Step 3: Cross multiply
    540,270.42x = 809,842.48 × 203,078.76
  4. Step 4: Simplify right side
    540,270.42x = 164,461,806,633.73
  5. Step 5: Solve for x
    x = 164,461,806,633.73/540,270.42
  6. Step 6: Final answer
    x = 304,406.46

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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.