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Finding the Fourth Proportional to 540,504.85, 811,318.26 and 313,244.49

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Solution

The fourth proportional to 540,504.85, 811,318.26 and 313,244.49 is: 470,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,504.85 : 811,318.26 = 313,244.49 : x
  2. Step 2: Convert to fraction form
    540,504.85/811,318.26 = 313,244.49/x
  3. Step 3: Cross multiply
    540,504.85x = 811,318.26 × 313,244.49
  4. Step 4: Simplify right side
    540,504.85x = 254,140,977,392.79
  5. Step 5: Solve for x
    x = 254,140,977,392.79/540,504.85
  6. Step 6: Final answer
    x = 470,191.85

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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.