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Finding the Fourth Proportional to 465,527.28, 642,673.14 and 313,365.48

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Solution

The fourth proportional to 465,527.28, 642,673.14 and 313,365.48 is: 432,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,527.28 : 642,673.14 = 313,365.48 : x
  2. Step 2: Convert to fraction form
    465,527.28/642,673.14 = 313,365.48/x
  3. Step 3: Cross multiply
    465,527.28x = 642,673.14 × 313,365.48
  4. Step 4: Simplify right side
    465,527.28x = 201,391,576,999.21
  5. Step 5: Solve for x
    x = 201,391,576,999.21/465,527.28
  6. Step 6: Final answer
    x = 432,609.61

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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.