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Finding the Fourth Proportional to 283,661.34, 391,328.64 and 203,059.46

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Solution

The fourth proportional to 283,661.34, 391,328.64 and 203,059.46 is: 280,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,661.34 : 391,328.64 = 203,059.46 : x
  2. Step 2: Convert to fraction form
    283,661.34/391,328.64 = 203,059.46/x
  3. Step 3: Cross multiply
    283,661.34x = 391,328.64 × 203,059.46
  4. Step 4: Simplify right side
    283,661.34x = 79,462,982,320.93
  5. Step 5: Solve for x
    x = 79,462,982,320.93/283,661.34
  6. Step 6: Final answer
    x = 280,133.28

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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.