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Finding the Fourth Proportional to 485,075.70, 727,613.55 and 408,093.30

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Solution

The fourth proportional to 485,075.70, 727,613.55 and 408,093.30 is: 612,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,075.70 : 727,613.55 = 408,093.30 : x
  2. Step 2: Convert to fraction form
    485,075.70/727,613.55 = 408,093.30/x
  3. Step 3: Cross multiply
    485,075.70x = 727,613.55 × 408,093.30
  4. Step 4: Simplify right side
    485,075.70x = 296,934,214,744.22
  5. Step 5: Solve for x
    x = 296,934,214,744.22/485,075.70
  6. Step 6: Final answer
    x = 612,139.95

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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.