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Finding the Fourth Proportional to 540,271.42, 809,843.98 and 203,079.76

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Solution

The fourth proportional to 540,271.42, 809,843.98 and 203,079.76 is: 304,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,271.42 : 809,843.98 = 203,079.76 : x
  2. Step 2: Convert to fraction form
    540,271.42/809,843.98 = 203,079.76/x
  3. Step 3: Cross multiply
    540,271.42x = 809,843.98 × 203,079.76
  4. Step 4: Simplify right side
    540,271.42x = 164,462,921,095.85
  5. Step 5: Solve for x
    x = 164,462,921,095.85/540,271.42
  6. Step 6: Final answer
    x = 304,407.96

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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.