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Finding the Fourth Proportional to 415,041.80, 622,562.70 and 302,192.60

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Solution

The fourth proportional to 415,041.80, 622,562.70 and 302,192.60 is: 453,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,041.80 : 622,562.70 = 302,192.60 : x
  2. Step 2: Convert to fraction form
    415,041.80/622,562.70 = 302,192.60/x
  3. Step 3: Cross multiply
    415,041.80x = 622,562.70 × 302,192.60
  4. Step 4: Simplify right side
    415,041.80x = 188,133,840,976.02
  5. Step 5: Solve for x
    x = 188,133,840,976.02/415,041.80
  6. Step 6: Final answer
    x = 453,288.90

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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.