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Finding the Fourth Proportional to 366,911.20, 550,366.80 and 314,423.20

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Solution

The fourth proportional to 366,911.20, 550,366.80 and 314,423.20 is: 471,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,911.20 : 550,366.80 = 314,423.20 : x
  2. Step 2: Convert to fraction form
    366,911.20/550,366.80 = 314,423.20/x
  3. Step 3: Cross multiply
    366,911.20x = 550,366.80 × 314,423.20
  4. Step 4: Simplify right side
    366,911.20x = 173,048,090,429.76
  5. Step 5: Solve for x
    x = 173,048,090,429.76/366,911.20
  6. Step 6: Final answer
    x = 471,634.80

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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.