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Finding the Fourth Proportional to 305,830.32, 422,045.85 and 171,694.32

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Solution

The fourth proportional to 305,830.32, 422,045.85 and 171,694.32 is: 236,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.32 : 422,045.85 = 171,694.32 : x
  2. Step 2: Convert to fraction form
    305,830.32/422,045.85 = 171,694.32/x
  3. Step 3: Cross multiply
    305,830.32x = 422,045.85 × 171,694.32
  4. Step 4: Simplify right side
    305,830.32x = 72,462,875,224.57
  5. Step 5: Solve for x
    x = 72,462,875,224.57/305,830.32
  6. Step 6: Final answer
    x = 236,938.17

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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.