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Finding the Fourth Proportional to 540,609.48, 811,046.46 and 380,996.84

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Solution

The fourth proportional to 540,609.48, 811,046.46 and 380,996.84 is: 571,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,609.48 : 811,046.46 = 380,996.84 : x
  2. Step 2: Convert to fraction form
    540,609.48/811,046.46 = 380,996.84/x
  3. Step 3: Cross multiply
    540,609.48x = 811,046.46 × 380,996.84
  4. Step 4: Simplify right side
    540,609.48x = 309,006,138,353.19
  5. Step 5: Solve for x
    x = 309,006,138,353.19/540,609.48
  6. Step 6: Final answer
    x = 571,588.46

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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.