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Finding the Fourth Proportional to 305,830.12, 422,038.74 and 169,856.44

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Solution

The fourth proportional to 305,830.12, 422,038.74 and 169,856.44 is: 234,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,830.12 : 422,038.74 = 169,856.44 : x
  2. Step 2: Convert to fraction form
    305,830.12/422,038.74 = 169,856.44/x
  3. Step 3: Cross multiply
    305,830.12x = 422,038.74 × 169,856.44
  4. Step 4: Simplify right side
    305,830.12x = 71,685,997,918.49
  5. Step 5: Solve for x
    x = 71,685,997,918.49/305,830.12
  6. Step 6: Final answer
    x = 234,398.10

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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.