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Finding the Fourth Proportional to 282,767.77, 390,219.60 and 161,949.16

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Solution

The fourth proportional to 282,767.77, 390,219.60 and 161,949.16 is: 223,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,767.77 : 390,219.60 = 161,949.16 : x
  2. Step 2: Convert to fraction form
    282,767.77/390,219.60 = 161,949.16/x
  3. Step 3: Cross multiply
    282,767.77x = 390,219.60 × 161,949.16
  4. Step 4: Simplify right side
    282,767.77x = 63,195,736,435.54
  5. Step 5: Solve for x
    x = 63,195,736,435.54/282,767.77
  6. Step 6: Final answer
    x = 223,489.89

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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.