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Finding the Fourth Proportional to 540,665.88, 810,913.60 and 180,834

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Solution

The fourth proportional to 540,665.88, 810,913.60 and 180,834 is: 271,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,665.88 : 810,913.60 = 180,834 : x
  2. Step 2: Convert to fraction form
    540,665.88/810,913.60 = 180,834/x
  3. Step 3: Cross multiply
    540,665.88x = 810,913.60 × 180,834
  4. Step 4: Simplify right side
    540,665.88x = 146,640,749,942.40
  5. Step 5: Solve for x
    x = 146,640,749,942.40/540,665.88
  6. Step 6: Final answer
    x = 271,222.50

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1.5x scale

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.