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Finding the Fourth Proportional to 465,260.96, 642,009.12 and 261,270.56

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Solution

The fourth proportional to 465,260.96, 642,009.12 and 261,270.56 is: 360,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,260.96 : 642,009.12 = 261,270.56 : x
  2. Step 2: Convert to fraction form
    465,260.96/642,009.12 = 261,270.56/x
  3. Step 3: Cross multiply
    465,260.96x = 642,009.12 × 261,270.56
  4. Step 4: Simplify right side
    465,260.96x = 167,738,082,307.51
  5. Step 5: Solve for x
    x = 167,738,082,307.51/465,260.96
  6. Step 6: Final answer
    x = 360,524.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.