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Finding the Fourth Proportional to 415,109.94, 622,821.66 and 162,570.72

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Solution

The fourth proportional to 415,109.94, 622,821.66 and 162,570.72 is: 243,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,109.94 : 622,821.66 = 162,570.72 : x
  2. Step 2: Convert to fraction form
    415,109.94/622,821.66 = 162,570.72/x
  3. Step 3: Cross multiply
    415,109.94x = 622,821.66 × 162,570.72
  4. Step 4: Simplify right side
    415,109.94x = 101,252,565,697.80
  5. Step 5: Solve for x
    x = 101,252,565,697.80/415,109.94
  6. Step 6: Final answer
    x = 243,917.47

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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.