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Finding the Fourth Proportional to 282,072.34, 389,294.25 and 161,218.72

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Solution

The fourth proportional to 282,072.34, 389,294.25 and 161,218.72 is: 222,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,072.34 : 389,294.25 = 161,218.72 : x
  2. Step 2: Convert to fraction form
    282,072.34/389,294.25 = 161,218.72/x
  3. Step 3: Cross multiply
    282,072.34x = 389,294.25 × 161,218.72
  4. Step 4: Simplify right side
    282,072.34x = 62,761,520,688.36
  5. Step 5: Solve for x
    x = 62,761,520,688.36/282,072.34
  6. Step 6: Final answer
    x = 222,501.51

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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.