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Finding the Fourth Proportional to 309,083.76, 426,385.08 and 201,605.04

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Solution

The fourth proportional to 309,083.76, 426,385.08 and 201,605.04 is: 278,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,083.76 : 426,385.08 = 201,605.04 : x
  2. Step 2: Convert to fraction form
    309,083.76/426,385.08 = 201,605.04/x
  3. Step 3: Cross multiply
    309,083.76x = 426,385.08 × 201,605.04
  4. Step 4: Simplify right side
    309,083.76x = 85,961,381,108.80
  5. Step 5: Solve for x
    x = 85,961,381,108.80/309,083.76
  6. Step 6: Final answer
    x = 278,116.78

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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.