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Finding the Fourth Proportional to 282,457.56, 389,628.72 and 169,214.70

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Solution

The fourth proportional to 282,457.56, 389,628.72 and 169,214.70 is: 233,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,457.56 : 389,628.72 = 169,214.70 : x
  2. Step 2: Convert to fraction form
    282,457.56/389,628.72 = 169,214.70/x
  3. Step 3: Cross multiply
    282,457.56x = 389,628.72 × 169,214.70
  4. Step 4: Simplify right side
    282,457.56x = 65,930,906,966.18
  5. Step 5: Solve for x
    x = 65,930,906,966.18/282,457.56
  6. Step 6: Final answer
    x = 233,418.81

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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.