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Finding the Fourth Proportional to 540,609.98, 811,047.21 and 380,997.34

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Solution

The fourth proportional to 540,609.98, 811,047.21 and 380,997.34 is: 571,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,609.98 : 811,047.21 = 380,997.34 : x
  2. Step 2: Convert to fraction form
    540,609.98/811,047.21 = 380,997.34/x
  3. Step 3: Cross multiply
    540,609.98x = 811,047.21 × 380,997.34
  4. Step 4: Simplify right side
    540,609.98x = 309,006,829,624.42
  5. Step 5: Solve for x
    x = 309,006,829,624.42/540,609.98
  6. Step 6: Final answer
    x = 571,589.21

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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.