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Finding the Fourth Proportional to 415,289.65, 622,986.35 and 162,537.46

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Solution

The fourth proportional to 415,289.65, 622,986.35 and 162,537.46 is: 243,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,289.65 : 622,986.35 = 162,537.46 : x
  2. Step 2: Convert to fraction form
    415,289.65/622,986.35 = 162,537.46/x
  3. Step 3: Cross multiply
    415,289.65x = 622,986.35 × 162,537.46
  4. Step 4: Simplify right side
    415,289.65x = 101,258,618,943.67
  5. Step 5: Solve for x
    x = 101,258,618,943.67/415,289.65
  6. Step 6: Final answer
    x = 243,826.49

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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.