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Finding the Fourth Proportional to 540,115.20, 809,671.86 and 185,044.86

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Solution

The fourth proportional to 540,115.20, 809,671.86 and 185,044.86 is: 277,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,115.20 : 809,671.86 = 185,044.86 : x
  2. Step 2: Convert to fraction form
    540,115.20/809,671.86 = 185,044.86/x
  3. Step 3: Cross multiply
    540,115.20x = 809,671.86 × 185,044.86
  4. Step 4: Simplify right side
    540,115.20x = 149,825,615,979.64
  5. Step 5: Solve for x
    x = 149,825,615,979.64/540,115.20
  6. Step 6: Final answer
    x = 277,395.67

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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.