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Finding the Fourth Proportional to 290,141.92, 435,210.80 and 204,399.92

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Solution

The fourth proportional to 290,141.92, 435,210.80 and 204,399.92 is: 306,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,141.92 : 435,210.80 = 204,399.92 : x
  2. Step 2: Convert to fraction form
    290,141.92/435,210.80 = 204,399.92/x
  3. Step 3: Cross multiply
    290,141.92x = 435,210.80 × 204,399.92
  4. Step 4: Simplify right side
    290,141.92x = 88,957,052,703.14
  5. Step 5: Solve for x
    x = 88,957,052,703.14/290,141.92
  6. Step 6: Final answer
    x = 306,598.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.