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Finding the Fourth Proportional to 545,950.20, 819,800.10 and 412,980.60

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Solution

The fourth proportional to 545,950.20, 819,800.10 and 412,980.60 is: 620,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,950.20 : 819,800.10 = 412,980.60 : x
  2. Step 2: Convert to fraction form
    545,950.20/819,800.10 = 412,980.60/x
  3. Step 3: Cross multiply
    545,950.20x = 819,800.10 × 412,980.60
  4. Step 4: Simplify right side
    545,950.20x = 338,561,537,178.06
  5. Step 5: Solve for x
    x = 338,561,537,178.06/545,950.20
  6. Step 6: Final answer
    x = 620,132.64

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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.