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Finding the Fourth Proportional to 282,646.38, 390,033.64 and 161,788.62

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Solution

The fourth proportional to 282,646.38, 390,033.64 and 161,788.62 is: 223,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,646.38 : 390,033.64 = 161,788.62 : x
  2. Step 2: Convert to fraction form
    282,646.38/390,033.64 = 161,788.62/x
  3. Step 3: Cross multiply
    282,646.38x = 390,033.64 × 161,788.62
  4. Step 4: Simplify right side
    282,646.38x = 63,103,004,369.18
  5. Step 5: Solve for x
    x = 63,103,004,369.18/282,646.38
  6. Step 6: Final answer
    x = 223,257.78

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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.