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Finding the Fourth Proportional to 261,571.21, 360,955.96 and 145,292.22

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Solution

The fourth proportional to 261,571.21, 360,955.96 and 145,292.22 is: 200,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,571.21 : 360,955.96 = 145,292.22 : x
  2. Step 2: Convert to fraction form
    261,571.21/360,955.96 = 145,292.22/x
  3. Step 3: Cross multiply
    261,571.21x = 360,955.96 × 145,292.22
  4. Step 4: Simplify right side
    261,571.21x = 52,444,092,750.63
  5. Step 5: Solve for x
    x = 52,444,092,750.63/261,571.21
  6. Step 6: Final answer
    x = 200,496.43

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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.