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Finding the Fourth Proportional to 282,599.10, 389,964.12 and 161,712.68

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Solution

The fourth proportional to 282,599.10, 389,964.12 and 161,712.68 is: 223,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,599.10 : 389,964.12 = 161,712.68 : x
  2. Step 2: Convert to fraction form
    282,599.10/389,964.12 = 161,712.68/x
  3. Step 3: Cross multiply
    282,599.10x = 389,964.12 × 161,712.68
  4. Step 4: Simplify right side
    282,599.10x = 63,062,142,949.04
  5. Step 5: Solve for x
    x = 63,062,142,949.04/282,599.10
  6. Step 6: Final answer
    x = 223,150.54

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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.