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Finding the Fourth Proportional to 290,875.92, 401,077.82 and 204,807.40

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Solution

The fourth proportional to 290,875.92, 401,077.82 and 204,807.40 is: 282,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,875.92 : 401,077.82 = 204,807.40 : x
  2. Step 2: Convert to fraction form
    290,875.92/401,077.82 = 204,807.40/x
  3. Step 3: Cross multiply
    290,875.92x = 401,077.82 × 204,807.40
  4. Step 4: Simplify right side
    290,875.92x = 82,143,705,511.87
  5. Step 5: Solve for x
    x = 82,143,705,511.87/290,875.92
  6. Step 6: Final answer
    x = 282,401.19

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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.