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Finding the Fourth Proportional to 340,899.92, 470,458 and 189,998

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Solution

The fourth proportional to 340,899.92, 470,458 and 189,998 is: 262,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,899.92 : 470,458 = 189,998 : x
  2. Step 2: Convert to fraction form
    340,899.92/470,458 = 189,998/x
  3. Step 3: Cross multiply
    340,899.92x = 470,458 × 189,998
  4. Step 4: Simplify right side
    340,899.92x = 89,386,079,084
  5. Step 5: Solve for x
    x = 89,386,079,084/340,899.92
  6. Step 6: Final answer
    x = 262,206.22

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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.