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Finding the Fourth Proportional to 282,149.34, 389,365.02 and 154,827.06

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Solution

The fourth proportional to 282,149.34, 389,365.02 and 154,827.06 is: 213,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,149.34 : 389,365.02 = 154,827.06 : x
  2. Step 2: Convert to fraction form
    282,149.34/389,365.02 = 154,827.06/x
  3. Step 3: Cross multiply
    282,149.34x = 389,365.02 × 154,827.06
  4. Step 4: Simplify right side
    282,149.34x = 60,284,241,313.44
  5. Step 5: Solve for x
    x = 60,284,241,313.44/282,149.34
  6. Step 6: Final answer
    x = 213,660.76

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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.