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Finding the Fourth Proportional to 540,801.48, 811,221.12 and 185,812.92

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Solution

The fourth proportional to 540,801.48, 811,221.12 and 185,812.92 is: 278,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,801.48 : 811,221.12 = 185,812.92 : x
  2. Step 2: Convert to fraction form
    540,801.48/811,221.12 = 185,812.92/x
  3. Step 3: Cross multiply
    540,801.48x = 811,221.12 × 185,812.92
  4. Step 4: Simplify right side
    540,801.48x = 150,735,365,072.87
  5. Step 5: Solve for x
    x = 150,735,365,072.87/540,801.48
  6. Step 6: Final answer
    x = 278,725.87

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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.