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Finding the Fourth Proportional to 283,591.60, 424,986.45 and 157,287.49

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Solution

The fourth proportional to 283,591.60, 424,986.45 and 157,287.49 is: 235,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,591.60 : 424,986.45 = 157,287.49 : x
  2. Step 2: Convert to fraction form
    283,591.60/424,986.45 = 157,287.49/x
  3. Step 3: Cross multiply
    283,591.60x = 424,986.45 × 157,287.49
  4. Step 4: Simplify right side
    283,591.60x = 66,845,052,004.51
  5. Step 5: Solve for x
    x = 66,845,052,004.51/283,591.60
  6. Step 6: Final answer
    x = 235,708.86

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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.